In 1984 the population density of a country was 63 people per square mile, and in 1999 it was 75 people per square mile. Use a linear function to estimate when the population density reached 88 people per square mile. The population density will reach 88 people per square mile in the year (Round to the nearest whole number as needed.)

Q: Make a table of values and graph the function

A:

Q: Graph both the parent function and the new function and fill in the graph

A: Given: y=cos12x

Q: The relationship between the amount of time a car is parked, in hours, and the cost of parking, in…

A:

Q: /(x) - 4**1 - 2

A:

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: Find a simple function that fits the datain the tables.

A: Given

Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: Is the type of function a constant function, identity function, reciprocal function, or a linear…

A: Solve the following

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: Can a function also be pictured as an arrow diagram?

A: Yes, a function can be pictured as an arrow diagram. To picture a function as an arrow diagram the…

Q: Create a table to represent the amount of money that Khalil has earned for babysitting as a function…

A:

Q: Can the graph of a one-to-one function intersect a horizontal line more thanonce? Explain.

A: A one-to-one function f(x) is defined as, Thus, we can infer from the above definition of a…

Q: If a dog pops 100 balloons in 39.08 seconds, what function model should be used to predict how long…

A: Regression Equation: When we want to predict the value of one variable, say Y, from the given value…

Q: What is the constant function?

A:

Q: Find the Domain and Range of functions:

A:

Q: Write the function whose graph is the graph of y = √x, but reflected about the y-axis.

A: y=x

Q: Use the terms domain, range, independent variable, and depen-dent variable to explain how a function…

A: A function f from a set A to another set B is a rule that associates each element of set A, a unique…

Q: Graph the function. f(x) = 3*

A:

Q: Is the type of function a quadratic function, absolute value function, cubic function, or a constant…

A:

Q: According to the Social Security Advisory Board, the number of workers per beneficiary of the Social…

A:

Q: State the equation of the graphed function.

A: Given,         The graphed function is shown below :

Q: the average sale of a house decreased from 333,000 in february 2008 to 158,000 in february 2013 what…

A:

Q: The graph of a linear function is shown on the grid.

A: The graph passes through the point (0, 5) only the equation y + 7= -3(x - 4) satisfy the point. So,…

Q: Is a constant function even or odd?

A:

Q: Explain why if a horizontal line intersects the graph of a function in more than one point, then the…

A: Given:  why if a horizontal line intersects the graph of a function in more than one point, then the…

Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Every month your cellphone plan costs P3,750.00 and gives you unlimited talk, 500 text messages, and…

A: Given the data.

Q: In 1976 the population density of a country was 55 people per square mile, and in 2001 it was 75…

A:

Q: Find the point on the graph of the function that is closest to the given point.

A: To find the point on the graph of the function fx=x that is closest to the point 4,0

Q: Suppose an insect population increases by a constant number each month. Explain why the number of…

A: Given : An insect population increase by a constant number each month.

Q: The total attendance at a contemporary art museum is modeled by the function f(x) = 18,933(1.047)'.…

A: The total attendance of the contemporary art museum is modeled by the function ; f(x)=18,933(1.047)x…

Q: Can every curve in the coordinate plane be the graph of a function? Why?

A: Question- Can every curve in the coordinate plane be the graph of a function ? why? Answer- A…

Q: Differentiate the function. + Bcos y y10

A: To differentiate the function z=(A/y¹⁰)+Bcosy

Q: y First Ratio Second Differences Differences -3| 243 -2 81 -1 27 9. 1 3 2 1 (2) 1 - 3

A: Given: A table of data. To decide if the table represents a function which is linear, quadratic or…

Q: The total cost of a ride, C, in British pounds (GBP), on BlackCabs can be modelled by the function C…

A:

Q: Which set of ordered pairs does not represent a function?

A: Given data: A relation is said to be a function when the single value of x in set A  gives the…

Q: A cab company charged $0.25 per mile as well as a flat fee of $2.50 just for taking a ride in the…

A:

Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) +…

A: The given sales function is P ( x ) =1.85(x–1998)+4.

Q: Graph the original function by indicating how the more basic function has been shifted, reflected,…

A: given, to graph -1(x-5)2 using transformation base function for given function is f(x)=1x2

Q: Express the altitude of a right triangle as a function of the base, if the hypotenuse is 20.

A:

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: Which type of function best models the area of the garden as a function of the width?

A:

Q: A party planner needs to figure out how much it will cost her client to rent a space and pay person…

A:

Q: Create a table to represent the amount of money that Greg has earned for the Jump-a-thon as a…

A: Given: Greg earns $4 for each minutes he jump. To complete the given table and form the function to…

Q: What is meant by linear function in reference to algebra?

A:

Q: Is the function one-to-one?

A:

Q: Graph the given function by making a table of coordinates. fx) = 4"

A:

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Suppose cost of an article is $x and after offering y% of discount, the discounted cost will be $x-x…

Q: Consider the table of values for the function y fx) 1. 2 1. 2 4 4. What is the value of 3. 4.

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.