Sketch the following functions by factoring first to determine intercepts, holes and asymptotes.Show all your work.2.y =4x²+8x-602x²+x-21

Given- The function y = 4x2 + 8x - 602x2 + x - 21 To find- Determine intercept, holes and…

Answered: Sketch the following functions by…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.7: Graph Quadratic Functions Using Transformations

Problem 9.125TI: Write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.

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Write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.
????? ?ℎ? ???????? ????????, ?(?) = -2x^2+4x+30/x^2-3x-10a. Rewrite the function in factored and reduced forms.b. Identify the domain, location of the hole, and vertical asymptote.c. Identify the zero, y-intercept and end behavior. Determine the end behavior of the rational function below by providing the linear equation of the obliqueasymptote.?(?) = 2x^3-x^2+4x-5/3x^2+9x Use the following function to answer the questions that follow.?(?) = ?% − 3?& − 9?" + 23? − 12a. Factor ?(?) completely. b. sketchUsing your sketch, determine the values of ? such that ?(?) < 0. Provide your solution in intervalnotation.
Convert the function to the factored form and find the x-intercepts.
For the graph shown below do the following. a. Find the zeros and state the multiplicity of each zero. b. Write an equation, expressed as the product of factors, of a polynomial function for the graph. Use a leading coefficient of 1 or -1 and make the degree of f as small as possible. c. Use both the equation in part (b) and the graph to find the y-intercept W Q a. List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within your choice. O A. (Use a comma to separate answers as needed.) OB. There are no such zeros. List the zeros whose multiplicity is odd. Select the correct choice below and fill in any answer boxes within your choice. OA. (Use a comma to separate answers as needed.) B. There are no such zeros. b. Write an equation, expressed as the product of factors, of a polynomial function for the graph. Use a leading coefficient of 1 or -1 and make the degree of f as small as possible. f(x) = (Type your answer in factored form.) c.…
1. A motorcycle stunt rider jumped across the Snake River, starting from a bluff overlooking the river and landing on a level with the river. The path of her motorcycle was given approximately by the function H(d) = -0.0003d² +2.19d + 400, where H is measured in feet above the river and d is the horizontal distance from the launch ramp, in feet. a. Sketch and label a picture of the rider's path. b. How high above the river was the launch ramp? c. What was the rider's maximum height above the river, and how far was the rider from the ramp (horizontally) when she reached the maximum height? d. What was the rider's horizontal distance from the ramp when she landed? decimal place, as needed.) (Round answers to one
For the graph shown below do the following. a. Find the zeros and state the multiplicity of each zero. b. Write an equation, expressed as the product of factors, of a polynomial function for the graph. Use a leading coefficient of 1 or -1 and make the degree of f as small as possible. c. Use both the equation in part (b) and the graph to find the y-intercept 10- N Q C a. List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within your choice. O A. (Use a comma to separate answers as needed.) OB. There are no such zeros. List the zeros whose multiplicity is odd. Select the correct choice below and fill in any answer boxes within your choice. OA. (Use a comma to separate answers as needed.) OB. There are no such zeros. b. Write an equation, expressed as the product of factors, of a polynomial function for the graph. Use a leading coefficient of 1 or - 1 and make the degree of f as small as possible. f(x) = (Type your answer in factored…
For the graph shown below do the following. a. List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within your choice. a. Find the zeros and state the multiplicity of each zero. b. Write an equation, expressed as the product of factors, of a polynomial function for the graph. Use a leading coefficient of 1 or - 1 and make the degree of f as small as possible. c. Use both the equation in part (b) and the graph to find the y-intercept OA. (Use a comma to separate answers as needed.) OB. There are no such zeros. List the zeros whose multiplicity is odd. Select the correct choice below and fill in any answer boxes within your choice. OA. (Use a comma to separate answers as needed.) OB. There are no such zeros. b. Write an equation, expressed as the product of factors, of a polynomial function for the graph. Use a leading coefficient of 1 or - 1 and make the degree of f as small as possible. (Type your answer in factored form.) C. The…

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Sketch the following functions by factoring first to determine intercepts, holes and asymptotes. Show all your work. 2. y= 4x+8x-60 2x²+x-21