Function Inverses

Question 1

Identify the inverse g(x) of the given relation f(x).f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

Revolt · Accepted Answer

g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Question 2

Choose a true statement.

Revolt · Accepted Answer

g(x) is a function because f(x) is one-to-one.

Question 3

a = b = c = d = e =

Revolt · Accepted Answer

Part 1: -3.8; Part 2: -2.6; Part 3: 1.7; Part 4: 4.4; Part 5: 1

Question 4

Select each graph that shows a function and its inverse.

Revolt · Accepted Answer

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

Question 5

If the graph of an inverse passes the , you know that the inverse is a function.

Revolt · Accepted Answer

vertical-line test

Question 6

[image 1] [image 2] [image 3] [image 4]

Revolt · Accepted Answer

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

Question 7

f(x) = 4x − 12 f−1(x) = x +

Revolt · Accepted Answer

Part 1: 1/4; Part 2: 3; 1/4

Question 8

Is the inverse of the function shown below also a function? Explain your answer.

Revolt · Accepted Answer

Yes. The inverse is also a function because the graph passes the horizontal line test, so the original function is one-to-one.

Question 9

What is the value of the inverseshown below?S –1 (0) =

Revolt · Accepted Answer

Friday

Question 10

The graph of an inverse is the reflection of the graph of the function over the line .

Revolt · Accepted Answer

y = x

Function Inverses Answers

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