Describe the relationship of input and output values for composite functions

Q: Explain how you would determine when a function is increasing or decreasing,

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Q: What function is represented below? to to 8. 7. 9. 5. 2. 4-3-2-1 2 3 4 5 9. 6 7 8 -2

A: The given graph has following properties: 1. Vertical asymptote at x=0 2. Horizontal asymptote at…

Q: Original Function 5 25. у %3| 2.x2

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Q: Graph the functions in excercise

A: Given function is, y=8-x23.   The equation y=8-x23 is obtained by adding -8 to x in the graph of…

Q: 1. Write an equation to represent the function from the following table of values: -3 -6 -1 -3 1 3 3…

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Q: Define the term constant.

A: Constant represents something that is not variable.

Q: Suppose that x and y vary inversley and that Y=8/3 when x=8. Write a function that models the…

A: Given that x and y vary inversely that is  y=kx where k is proportionality constant.

Q: 14) write the equation of the translated function 2

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Q: Write a function in any form that would match 40 20

A: Given graph is :

Q: 15) write the equation of the translated function

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Assume the cost of a taxi is $2 per ride and $2.20 per mile. What function represents your total can…

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Q: Suppose the function f(x) = 0.035x represents the number of U.S. dollars equivalent tox Russian…

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Q: Determine the domain and the range of the functions below. 2.) 3.) 1.)

A: 1) Given function is f(x)=|x| Here, domain of the function is (-∞,∞). We can input any real number…

Q: Like numbers,can the functions be added, subtracted, multiplied, and divided?

A: To Determine: Like numbers,can the functions be added, subtracted, multiplied, and divided?

Q: Differentiate the functions

A: As per our guidelines we are supposed to answer only one question i.e. the question no 17. For the…

Q: Describe the Test for Increasing and Decreasing Functions in your own word?

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Q: 10 10 x

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Q: Investigate when, historically, the use of the functionnotation y = f1x2 first appeared.

A: Query- Investigate when, historically, the use of the function notation y=fx first appeared. Answer-…

Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

Q: he amount ( in billions of dollars) held in private pension funds can be approximated by the…

A: Given,           The amount ( in billions of dollars) held in private pension funds can be…

Q: 17) write the equation of the translated function 2 -2 0. -2

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Q: Write the function notation 3x + y = 7

A: We have,3x+y=7y=7-3x

Q: which function is equivalent to y=3(x+2)2+7?

A: Given,  y=3(x+2)2+7   Now, y=3(x+2)2+7  = 3(x2+4x+4) +7  = 3x2 + 12x + 12 + 7  = 3x2 + 12x + 19

Q: The number of public elementary and secondary school teachers​ (in millions) in a particular year…

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Q: Just in case you didn't think about the really big numbers in your model, how much of the prize…

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Q: Are they a function ? Explain {(4,5), (4,3), (5,2)}

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Q: estimate the function 6. 5 4 3 2 1 136 125 116 109 104 101

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Q: Write the main ways functions are combined or transformed to form new functions?

A: If two functions are given then we can use the composition of functions to find the new composite…

Q: Determine the domain and range of the function. 4 3+ -4 -3 -2 -1 2 4 -2+ -3- 3-

A: Range of function

Q: Differentiate the function

A: Given function is

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: 16) write the equation of the translated function

A: Given that: Graph of a function:

Q: Differentiate the function P = 8000(1.88). NOTE: Enter the exact answer.

A: topic:-  derivatives

Q: Suppose the function h gives the cost of Car B t years since 2005. What does the expression 3h(7)…

A: Given data:   The given cost function of car B is h(t).     The expression for the initial value of…

Q: The number of students earning master's degrees in mathematics or statistics in a certain country in…

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Q: Write the equation for the function: 25 (0, 20) 20 15 10 (1.2) -5 5. 10 15

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Q: 10

A: Domain = value of x where graph is exits range = value of y where graph is exits

Q: 7) write the equation of the translated function 2 -2 -2

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Q: the

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Q: Differentiate the function. 12. B(y) = cy¯6

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Q: The amount of money (in trillions of dollars) that is invested in passively managed mutual funds can…

A: We have to find the amount of money in passively managed mutual funds in 2013 and 2018 and  if the…

Q: 14) write the equation of the translated function 2 2.

A: Explanation of the answer is as follows

Q: What is the frequency of the function y = -5cos6x? 6 6.

A: We have to find

Q: Differentiate the function. 5 y = 4e* + 5 1 y' = 4et 4

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Q: Supply a valid technology formula for the given function. 20.95x 1 + 20.92x

A: We can use the concept of technology formula in order to solve the given problem.

Q: A function is 3 6.

A: a.  yes b. t c. h(t)

Q: 22. y =

A: The given function is: y=x+xx2=x12x2+xx2=x12-2+x1-2y=x-32+x-1  To differentiate the given function.

Q: Differentiate the function. y=³√6-7x

A: Given : Function y=63-7x To Find : Derivative of the given function    From the given data, the…