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All Textbook Solutions for College Algebra

For the following exercises, solve the equation involving absolute value. 31. 14x1=5 For the following exercises, solve the equation involving absolute value. 32. 4x+13=6 For the following exercises, solve the equation involving absolute value. 33. 2x17=2 For the following exercises, solve the equation involving absolute value 34. 2x+12=3 For the following exercises, solve the equation involving absolute value. 35. x+5=0 For the following exercises, solve the equation involving absolute value. 36. 2x+1=3 For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. 37. x410x2+9=0 For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. 38. 4(t1)29(t1)=2 For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. 39. (x21)2+(x21)12=0 For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. 40. (x+1)28(x+1)9=0 For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. 41. (x3)24=0 For the following exercises, solve for the unknown variable. 42. x2x112=0 For the following exercises, solve for the unknown variable. 43. x2=x For the following exercises, solve for the unknown variable. 44. t10t5+1=0 For the following exercises, solve for the unknown variable. 45. x2+2x36=12 For the following exercises, use the model for the period of a pendulum, T, such that T=2Lg , where the length of the pendulum is L and the acceleration due to gravity is g. 46. If the acceleration due to gravity is 9.8m/s2 and the period equals 1 s, find the length to the nearest cm (100cm=1m) .For the following exercises, use the model for the period of a pendulum, T, such that T=2Lg , where the length of the pendulum is L and the acceleration due to gravity is g. 47. If the gravity Is 32 ft/s2 and the period equals 1 s, find the length to the nearest in. (12in,=1ft) . Round your answer to the nearest in.For the following exercises, use a model for body surface area, BSA, such that BSA=wh3600 , where w= weight in kg and h = height in cm. 48. Find the height of a 72-kg female to the nearest cm whose BSA=1.8 .For the following exercises, use a model for body surface area, BSA, such that BSA=wh3600 , where w= weight in kg and h = height in cm. 49. Find the weight of a 177-cm male to the nearest kg whose BSA=2.1 .Use interval notation to indicate all real numbers between and including -3 and 5.Express all real numbers less than —2 or greater than or equal to 3 in interval notation.Solve: 3x21 Solve: 4x+72x3 .Solve the inequality and write the answer using interval notation: x+412x+1 .Solve the inequality and write the answer in interval notation: 56x34+83x.Solve the compound inequality: 42x810.Solve the compound inequality: 3y45y5+3y .Describe all x-values within a distance of 3 from the number 2.Solve 2|k4|6 When solving an inequality, explain what happened from Step 1 to Step 2: Step 12x6 Step 2 x3 When solving an inequality, we arrive at: x+2x+3 23 Explain what our solution set is.When writing our solution in interval notation, how do we represent all the real numbers?When solving an inequality, we arrive at: x+2x+3 . 23 Explain what our solution set is.Describe how to graph y=|x3|For the following exercises, solve the inequality. Write your final answer in interval notation 6. 4x79 For the following exercises, solve the inequality. Write your final answer in interval notation 7. 3x+27x1 For the following exercises, solve the inequality. Write your final answer in interval notation. 8. 2x+3x5 For the following exercises, solve the inequality. Write your final answer in interval notation. 9. 4(x+3)2x1 For the following exercises, solve the inequality. Write your final answer in interval notation. 10. 12x54+25x For the following exercises, solve the inequality. Write your final answer in interval notation. 11. 5(x1)+33x44x For the following exercises, solve the inequality. Write your final answer in interval notation. 12. 3(2x+1)2(x+4)For the following exercises, solve the inequality. Write your final answer in interval notation. 13. x+38x+55310 For the following exercises, solve the inequality. Write your final answer in interval notation 14. x13+x+2535 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 15. x+96 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 16. 2x+37 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 17. 3x111 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 18. 2x+1+16 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation, 19. x2+410 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 20. 2x+713 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 21. x74 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 22. x201 For the following exercises, solve the inequality involving absolute value. Write your final answer in interval notation. 23. |x34|2 For the following exercises, describe all the x-values within or including a distance of the given values. 24.Distance of 5 units from the number 7 For the following exercises, describe all the x-values within or including a distance of the given values. 25. Distance of 3 units from the number 9 For the following exercises, describe all the x-values within or including a distance of the given values. 26. Distance of 10 units from the number 4 For the following exercises, describe all the x-values within or including a distance of the given values. 27. Distance of 11 units from the number 1 For the following exercises, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. 28. 43x+218 For the following exercises, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. 29. 3x+12x5x7 For the following exercises, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. 30. 3y52y7+y For the following exercises, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. 31. 2x511or5x+16 For the following exercises, solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. 32. x+7x+2 For the following exercises, graph the function. Observe the points of intersection and shade the x-axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. 33. |x1|2 For the following exercises, graph the function. Observe the points of intersection and shade the x-axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. 34. x+35 For the following exercises, graph the function. Observe the points of intersection and shade the x-axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. 35. x+74 For the following exercises, graph the function. Observe the points of intersection and shade the x-axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. 36. x27 For the following exercises, graph the function. Observe the points of intersection and shade the x-axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. 37. x20 For the following exercises, graph both straight lines (left-hand side being y1 and right-hand side being y2 ) on the same axes. Find the point of intersection and solve the inequality by observing where it is true comparing they-values of the lines. 38. x+33x4 For the following exercises, graph both straight lines (left-hand side being y1 and right-hand side being y2 ) on the same axes. Find the point of intersection and solve the inequality by observing where it is true comparing they-values of the lines. 39. x22x+1 For the following exercises, graph both straight lines (left-hand side being y1 and right-hand side being y2 ) on the same axes. Find the point of intersection and solve the inequality by observing where it is true comparing they-values of the lines. 40. x+1x+4 For the following exercises, graph both straight lines (left-hand side being y1 and right-hand side being y2 ) on the same axes. Find the point of intersection and solve the inequality by observing where it is true comparing they-values of the lines. 41. 12x+112x5 For the following exercises, graph both straight lines (left-hand side being y1 and right-hand side being y2 ) on the same axes. Find the point of intersection and solve the inequality by observing where it is true comparing they-values of the lines. 42. 4x+112x+3 For the following exercises, write the set in interval notation. 43. x1x3 For the following exercises, write the set in interval notation. 44. xx7 For the following exercises, write the set in interval notation. 45. {xx4}For the following exercises, write the set in interval notation. 46. x x is all real numbers}For the following exercises, write the interval in set-builder notation 47. (,6)For the following exercises, write the interval in set-builder notation. 48. (4,)For the following exercises, write the interval in set-builder notation. 49. [3,5)For the following exercises, write the interval in set-builder notation 50. [4,1][9,)For the following exercises, write the set of numbers represented on the number line in interval notation. 51.For the following exercises, write the set of numbers represented on the number line in interval notation 52.For the following exercises, write the set of numbers represented on the number line in interval notation. 53.For the following exercises, input the left-hand side of the inequality as a Y1 graph in your graphing utility. Enter Y2= the right-hand side. Entering the absolute value of an expression is found in the MATH menu, Num, l:abs (. Find the points of intersection, recall (2nd CALC 5:intersection, 1st curve, enter, 2nd curve, enter, guess, enter). Copy a sketch of the graph and shade the x-axis for your solution set to the inequality. Write final answers in interval notation. 54. x+252 For the following exercises, input the left-hand side of the inequality as a Y1 graph in your graphing utility. Enter Y2= the right-hand side. Entering the absolute value of an expression is found in the MATH menu, Num, l:abs (. Find the points of intersection, recall (2nd CALC 5:intersection, 1st curve, enter, 2nd curve, enter, guess, enter). Copy a sketch of the graph and shade the x-axis for your solution set to the inequality. Write final answers in interval notation. 55. 12x+24 For the following exercises, input the left-hand side of the inequality as a Y1 graph in your graphing utility. Enter Y2= the right-hand side. Entering the absolute value of an expression is found in the MATH menu, Num, l:abs (. Find the points of intersection, recall (2nd CALC 5:intersection, 1st curve, enter, 2nd curve, enter, guess, enter). Copy a sketch of the graph and shade the x-axis for your solution set to the inequality. Write final answers in interval notation. 56. |4x+1|32 For the following exercises, input the left-hand side of the inequality as a Y1 graph in your graphing utility. Enter Y2= the right-hand side. Entering the absolute value of an expression is found in the MATH menu, Num, l:abs (. Find the points of intersection, recall (2nd CALC 5:intersection, 1st curve, enter, 2nd curve, enter, guess, enter). Copy a sketch of the graph and shade the x-axis for your solution set to the inequality. Write final answers in interval notation. 57. x43 For the following exercises, input the left-hand side of the inequality as a Y1 graph in your graphing utility. Enter Y2= the right-hand side. Entering the absolute value of an expression is found in the MATH menu, Num, l:abs (. Find the points of intersection, recall (2nd CALC 5:intersection, 1st curve, enter, 2nd curve, enter, guess, enter). Copy a sketch of the graph and shade the x-axis for your solution set to the inequality. Write final answers in interval notation. 58. x+25 Solve 3x+1=2x+3 Solve x2x12 61. x5x+70,x7 p=x2+130x3,000 is a profit formula for a small business. Find the set of x-values that will keep this profit positive.In chemistry the volume for a certain gas is given by V=20T , where Vis measured in cc and T is temperature in °C. If the temperature varies between 80°C and 120°C, find the set of volume values.A basic cellular package costs $20/mo. for 60 min of calling, with an additional charge of$0.30/min beyond that time. The cost formula would, be S C=20+.30(x60) . If you have to keep your bill lower than $50, what is the maximum calling minutes you can use?For the following exercises, find the x-intercept and the y-intercept without graphing. 1. 4x3y=12 For the following exercises, find the x-intercept and the y-intercept without graphing. 2. 2y4=3x For each of the following exercises, solve for y in terms of x, putting the equation in slope-intercept form. 3. 5x=3y12 For each of the following exercises, solve for y in terms of x, putting the equation in slope-intercept form. 4. 2x5y=7 For the following exercises, find the distance between the two points. 5. (2,5)(4,1)For the following exercises, find the distance between the two points. 6. (12,3)(1,5)For the following exercises, find the distance between the two points. 7. Find the distance between the two points (-71,432) and (511,218) using your calculator, and round your answer to the nearest thousandth.For the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. 8. (1,5)and(4,6)For the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. 9. (13,5)and(17,18)For the following exercises, construct a table and graph the equation by plotting at least three points 10. y=12x+4 For the following exercises, construct a table and graph the equation by plotting at least three points 11. 4x3y=6 For the following exercises, solve for x. 12. 5x+2=7x8 For the following exercises, solve for x. 13. 3(x+2)10=x+4 For the following exercises, solve for x. 14. 7x3=5 For the following exercises, solve for x. 15. 125(x+1)=2x5 For the following exercises, solve for x. 16. 2x334=x6+214 For the following exercises, solve for x. State all x-values that are excluded from the solution set. 17. xx29+4x+3=3x29x3,3 For the following exercises, solve for x. State all x-values that are excluded from the solution set. 18. 12+2x=34 For the following exercises, find the equation of the line using the point-slope formula. 19. Passes through these two points: (2,1),(4,2) .For the following exercises, find the equation of the line using the point-slope formula. 20. Passes through the point (3,4) and has a slope of 13 .For the following exercises, find the equation of the line using the point-slope formula. 21. Passes through the point (3,4) and is parallel to the graph y=23x+5.For the following exercises, find the equation of the line using the point-slope formula. 22. Passes through these two points: (5,1),(5,7).For the following exercises, write and solve an equation to answer each question. 23. The number of males in the classroom is five more than three times the number of females. If the total number of students is 73, how many of each gender are in the class?For the following exercises, write and solve an equation to answer each question. 24. A man has 72 ft of fencing to put around a rectangular garden. If the length is 3 times the width, find the dimensions of his garden.For the following exercises, write and solve an equation to answer each question. 25. A truck rental is $25 plus $. 30/mi, Find out how many miles Ken traveled if his bill was $50.20.For the following exercises, use the quadratic equation to solve. 26. x25x+9=0 For the following exercises, use the quadratic equation to solve. 27. 2x2+3x+7=0 For the following exercises, name the horizontal component and the vertical component. 28. 43i For the following exercises, name the horizontal component and the vertical component. 29. 2i For the following exercises, perform the operations indicated. 30. (9i)(47i)For the following exercises, perform the operations indicated. 31. (2+3i)(58i)For the following exercises, perform the operations indicated. 32. 275+325 For the following exercises, perform the operations indicated. 33. 16+49 For the following exercises, perform the operations indicated. 34. 6i(i5)For the following exercises, perform the operations indicated. 35. (35i)2 For the following exercises, perform the operations indicated. 36. 412 For the following exercises, perform the operations indicated. 37. 2(85)For the following exercises, perform the operations indicated. 38. 253i For the following exercises, perform the operations indicated. 39. 3+7ii For the following exercises, solve the quadratic equation by factoring. 40. 2x27x4=0 For the following exercises, solve the quadratic equation by factoring. 41. 3x2+18x+15=0 For the following exercises, solve the quadratic equation by factoring. 42. 25x29=0 For the following exercises, solve the quadratic equation by factoring. 43. 7x29x=0 For the following exercises, solve the quadratic equation by using the square-root property. 44. x2=49 For the following exercises, solve the quadratic equation by using the square-root property. 45. (x4)2=36 For the following exercises, solve the quadratic equation by completing the square. 46. x2+8x5=0 For the following exercises, solve the quadratic equation by completing the square. 47. 4x2+2x1=0 For the following exercises, solve the quadratic equation by using the quadratic formula. If the solutions are not real, state No real solution. 48. 2x25x+1=0 For the following exercises, solve the quadratic equation by using the quadratic formula. It the solutions are not real, state No real solution. 49. 15x2x2=0 For the following exercises, solve the quadratic equation by the method of your choice. 50. (x2)2=16 For the following exercises, solve the quadratic equation by the method of your choice. 51. x2=10x+3 For the following exercises, solve the equations. 52. x32=27 For the following exercises, solve the equations. 53. x124x14=0 For the following exercises, solve the equations. 54. 4x3+8x29x18=0 For the following exercises, solve the equations. 55. 3x56x3=0 For the following exercises, solve the equations. 56. x+9=x3 For the following exercises, solve the equations. 57. 3x+7+x+2=1 For the following exercises, solve the equations. 58. 3x7=5 For the following exercises, solve the equations. 59. 2x+35=9 For the following exercises, solve the inequality. Write your final answer in interval notation. 60. 5x812 For the following exercises, solve the inequality. Write your final answer in interval notation. 61. 2x+5x7 For the following exercises, solve the inequality. Write your final answer in interval notation. 62. x13+x+2535 AFor the following exercises, solve the inequality. Write your final answer in interval notation. 63. 3x+2+19 For the following exercises, solve the inequality. Write your final answer in interval notation. 64. 5x114 For the following exercises, solve the compound inequality. Write your answer in interval notation 65. |x3|4 For the following exercises, solve the compound inequality. Write your answer in interval notation 68. 43x+218 For the following exercises, solve the compound inequality. Write your answer in interval notation 67. 3y12y5+y For the following exercises, graph as described. 68. Graph the absolute value function and graph the constant function. Observe the points of intersection and shade the x-axis representing the solution set to the inequality. Show your graph and write yourfinal answer in interval notation. x+35 For the following exercises, graph as described. 69. Graph both straight lines (left-hand side being y1 and right-hand side being y2 )on thesame axes. Find the point of intersection and solve the inequality by observing where it is true comparing the y-values of the lines. See the interval where the inequality is true. x+33x4 Graph the following: 2y=3x+4.Find the x and y-intercepts for the following: 2x5y=6 .Find the x- andy-intercepts of this equation, and sketch the graph of the line using just the intercepts plotted. 3x4y=12 Find the exact distance between (5,3)and(2,8) . Find the coordinates of the midpoint of the line segment joining the two points.Write the interval notation for the set of numbers represented by xx9 .Solve for x:5x+8=3x10 .Solve for x:3(2x5)3(x7)=2x9.Solve for x:x2+1=4x Solve for x:5x+4=4+3x2 .The perimeter of a triangle is 30 in. The longest side is 2 less than 3 times the shortest side and the other side is 2 more than twice the shortest side. Find the length of each side.Solve for x. Write the answer in simplest radical form. x23x=12 Solve: 3x84.Solve: 2x+35.Solve: 3x24.For the following exercises, find the equation of the line with the given information. 15. Passes through the points (4,2)and(5,3).For the following exercises, find the equation of the line with the given information. 16. Has an undefined slope and passes through the point (4,3) .For the following exercises, find the equation of the line with the given information. 17. Passes through the point (2,1) and is perpendicular to y=25x+3 .For the following exercises, find the equation of the line with the given information. 18. Add these complex numbers: (32i)+(4i) .For the following exercises, find the equation of the line with the given information. 19. Simplify: 4+316 .For the following exercises, find the equation of the line with the given information. 20. Multiply: 5i(53i) .For the following exercises, find the equation of the line with the given information. 21. Divide: 4i2+3i For the following exercises, find the equation of the line with the given information. 22. Solve this quadratic equation and write the two complex roots in a+bi form: x24x+7=0 .For the following exercises, find the equation of the line with the given information. 23. Solve: (3x1)21=24.For the following exercises, find the equation of the line with the given information. 24. Solve: x26x=13.For the following exercises, find the equation of the line with the given information. 25. Solve: 4x24x1=0 For the following exercises, find the equation of the line with the given information. 26. Solve: x7=x7 For the following exercises, find the equation of the line with the given information. 27. Solve: 2+122x=x For the following exercises, find the equation of the line with the given information. 28. Solve: (x1)23=9 For the following exercises, find the real solutions of each equation by factoring. 29. 2x3x28x+4=0 For the following exercises, find the real solutions of each equation by factoring. 30. (x+5)23(x+5)4=0 Table 2(1) lists the five greatest baseball players of all time in order of rank. Is the rank a function of the player name? Is the player name a function of the rank?Use function notation to express the weight of a pig in pounds as a function of its age in days d.Does Table 9 represent a function?Given the function g(m)=m4 .Evaluate g(5) .Given the function g(m)=m4 , solve g(m)=2 .If x8y3=0 , express y as a function of x.Using Table 11, evaluate g(1) .Using Figure 7, solve f(x)=1 .a. Is a balance a function of the bank account number? b.Is a bank account number a function of the balance? c.Isa balance a one-to-one function of the bank account number?a. If each percent grade earned in a course translates to one letter grade, is the letter grade a function of the percent grade? b.If so, is the function one-to-one?Does the graph in Figure 13 represent a function?Is the graph shown here one-to-one?What is the difference between a relation and a function?What is the difference between the input and the output of a function?Why does the vertical line test tell as whether the graph of a relation represents a function?How can you determine if a relation is a one-to-one function?Why does the horizontal line test tell us whether the graph of a function is one-to-one?For the following exercises, determine whether the relation represents a function. 6. {(a,b),(c,d),(a,c)}For the following exercises, determine whether the relation represents a function. 7. {(a,b),(b,c),(c,c)}For the following exercises, determine whether the relation represents y as a function of x. 5x+2y=10 For the following exercises, determine whether the relation represents y as a function of x. y=x2 For the following exercises, determine whether the relation represents y as a function of x. 10. x=y2 For the following exercises, determine whether the relation represents y as a function of x. 113x2+y=14 For the following exercises, determine whether the relation represents y as a function of x. 2x+y2=6 For the following exercises, determine whether the relation represents y as a function of x. 13y=2x2+40x For the following exercises, determine whether the relation represents y as a function of x. y=1x For the following exercises, determine whether the relation represents y as a function of x. 15x=3y+57y1 For the following exercises, determine whether the relation represents y as a function of x. x=1y2 For the following exercises, determine whether the relation represents y as a function of x. x=3x+57x1 For the following exercises, determine whether the relation represents y as a function of x. x2+y2=9 For the following exercises, determine whether the relation represents y as a function of x. 2xy=1 For the following exercises, determine whether the relation represents y as a function of x. 20. x=y3 For the following exercises, determine whether the relation represents y as a function of x. y=x3 For the following exercises, determine whether the relation represents y as a function of x. y=1x2 For the following exercises, determine whether the relation represents y as a function of x. x=1y For the following exercises, determine whether the relation represents y as a function of x. y=1x For the following exercises, determine whether the relation represents y as a function of x. 25y2=x2 For the following exercises, determine whether the relation represents y as a function of x. y3=x2 For the following exercises, evaluate the functionfat the indicated value f(3),f(2),f(a),f(a),f(a+h) . 27. f(x)=2x5 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 28. f(x)=5x2+2x1 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 29. f(x)=2x+5 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 30. f(x)=6x15x+2 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 31. f(x)=x1x+1 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 32. Given the function g(x)=5x2 , simplify g(x+h)g(x)h,h0 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 33. Given the function g(x)=x2+2x, simplify g(x)g(a)xa,xa For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 34.Given the function k(t)=2t1 : a.Evaluate k(2) . b.Solve k(t)=7 .For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 35. Given the function f(x)=8-3x : a.Evaluate f(2) . b.Solve f(x)=1 .For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 36.Given the function p(c)=c2+c . a.Evaluate p(3) . b.Solve p(c)=2 .For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 37.Given the function f(x)=x2-3x a.Evaluate f(5) . b.Solve f(x)=4 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 38.Given the function f(x)=x+2 : a.Evaluate f(7) . b.Solve f(x)=4 For the following exercises, evaluate the functionfat the indicated values f(3),f(2),f(a),f(a),f(a+h) . 9.Consider the relationship 3r+2t=18 . a.Write the relationship as a function r=f(t) b.Evaluate f(3) . c.Solve f(t)=2 .For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions.For the following exercises, use the vertical line test to determine which graphs show relations that are functions. 52. Given the following graph a.Evaluate f(1) . b.Solve for f(x)=3 .For the following exercises, use the vertical line test to determine which graphs show relations that are functions. 53. Given the following graph a.Evaluate f(0) . b.Solve for f(x)=3 .For the following exercises, use the vertical line test to determine which graphs show relations that are functions. 54. Given the following graph a. Evaluate f(4) . b. Solve for f(x)=1 .For the following exercises, determine if the given graph is a one-to-one function.For the following exercises, determine if the given graph is a one-to-one function.For the following exercises, determine if the given graph is a one-to-one function.For the following exercises, determine if the given graph is a one-to-one function.For the following exercises, determine if the given graph is a one-to-one function.For the following exercises, determine if the given graph is a one-to-one function. 60. (1,1),(2,2),(3,3)For the following exercises, determine whether the relation represents a function. 61. {(3,4),(4,5),(5,6)}For the following exercises, determine whether the relation represents a function. 62. {(2,5),(7,11),(15,8),(7,9)}For the following exercises, determine if the relation represented in table form represents yas a function of x. 63.For the following exercises, determine if the relation represented in table form represents y as a function of x. 64.For the following exercises, determine if the relation represented in table form represents y as a function of x. 65.For the following exercises, use the function f represented in Table 14 below. 66. Evaluate f(3) .For the following exercises, use the function f represented in Table 14 below. 67, Solve f(x)=1 For the following exercises, evaluate the function f at the values f(2),f(1),f(0),f(1),andf(2) . 68. f(x)=42x For the following exercises, evaluate the function f at the values f(2),f(1),f(0),f(1),andf(2) . 69. f(x)=83x For the following exercises, evaluate the function f at the values f(2),f(1),f(0),f(1),andf(2) . 70. f(x)=8x27x+3 For the following exercises, evaluate the function f at the values f(2),f(1),f(0),f(1),andf(2) . 71. f(x)=3+x+3 For the following exercises, evaluate the function f at the values f(2),f(1),f(0),f(1),andf(2) . 72. f(x)=x2x+3 For the following exercises, evaluate the function f at the values f(2),f(1),f(0),f(1),andf(2) . 73. f(x)=3x For the following exercises, evaluate the expressions, given functions f, g, and h: f(x)=3x2g(x)=5x2h(x)=2x2+3x1 74. 3f(1)4g(2)For the following exercises, evaluate the expressions, given functions f, g, and h: f(x)=3x2g(x)=5x2h(x)=2x2+3x1 75. f(73)h(2)For the following exercises, graph y=x2 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 76. [0.1,0.1]For the following exercises, graph y=x2 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 77. [10,10]For the following exercises, graph y=x2 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 78. [100,100]For the following exercises, graph y=x3 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 79. [0.1,0.1]For the following exercises, graph y=x3 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 80. [10,10]For the following exercises, graph y=x3 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 81. [100,100]For the following exercises, graph y=x on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 82. [0,0.01]For the following exercises, graph y=x on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 83. [0,0.01]For the following exercises, graph y=x on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 84. [0,10,000]For the following exercises, graph y=x3 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 85. [0.001,0.001]For the following exercises, graph y=x3 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 86. [1,000,1.000]For the following exercises, graph y=x3 on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. 87. [1,000,000,1,000,000]The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in tons per week, and p is measured in thousands of people. a.The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. b.Explain the meaning of the statement f(5)=2 .The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .Let f(t) be the number of ducks in a lake t years after 1990. Explain the meaning of each statement: a. f(5)=30 b. f(10)=40 Let h(t) be the height above ground, in feet, of a rocket t seconds after launching. Explain the meaning of each statement: a. h(1)=200 b. h(2)=350 Show that the function f(x)=3(x5)2+7 is not one-to-one.Find the domain of the function: {(5,4),(0,0),.(5,4),(10,8),(15,12)}Find the domain of the function: f(x)=5x+x3 .Find the domain of the function: f(x)=1+4x2x1 .Find the domain of the function f(x)=5+2x .

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