Lesson 2.5: Function Inverses

Question 1

a = b = c = d = e =

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-1; 0; 3; 2

Question 2

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Revolt · Accepted Answer

No. His rearrangement is correct, but he must switch x and y to write the inverse: f⁻¹(x) = (x - 4)/-8 = (4 - x)/8.

Question 3

Select each graph that shows a function and its inverse.

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Answer image: //media.edgenuity.com/EVresources/3111-02-05-20-05-task/mr001-1.jpg; Answer image: //media.edgenuity.com/EVresources/3111-02-05-20-05-task/mr001-4.jpg

Question 4

The composition of a function and its inverse is always –10✔ xy.

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✔ x

Question 5

The range values of an inverse are the outputnegative✔ domainrange values of the original function.

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✔ domain

Question 6

If the graph of an inverse passes the horizontal-line testX origin✔ vertical-line test, you know that the inverse is a function.

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✔ vertical-line test

Question 7

The graph of an inverse is the reflection of the graph of the function over the line X x = 0y = 0✔ y = x.

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✔ y = x

Question 8

f(x) = 4x − 12 f−1(x) = x +

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1/4; 3

Question 9

Question 9

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Answer image: //media.edgenuity.com/EVresources/3111-02-05-20-07-task/mc001-4.jpg

Question 10

Question 10

Revolt · Accepted Answer

3

Lesson 2.5: Function Inverses Answers

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