Function Inverses

Question 1

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

Revolt · Accepted Answer

The graph of h(x) passes the horizontal line test.

Question 2

Which graph shows a function whose inverse is also a function?

Revolt · Accepted Answer

On a coordinate plane, 2 lines are shown. f (x) has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). The inverse of f (x) has a positive slope and goes through (negative 2, negative 2), (negative 1, 0), and (0, 2).

Question 3

The function f(x) is shown below.xf(x)–61–32255380If g(x) is the inverse of f(x), what is the value of f(g(2))?

Revolt · Accepted Answer

2

Question 4

If , what is ?

Revolt · Accepted Answer

mc002-5.jpg

Question 5

Which function has an inverse that is a function?

Revolt · Accepted Answer

m(x) = –7x

Question 6

If and are inverse functions of each other and , what is ?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-05/mc005-6.jpg

Question 7

Which function is the inverse of ?

Revolt · Accepted Answer

mc013-3.jpg

Question 8

Which function has an inverse that is also a function?

Revolt · Accepted Answer

{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

Question 9

Which graph shows a function whose inverse is also a function?

Revolt · Accepted Answer

On a coordinate plane, 2 curves are shown. f (x) is a curve that starts at (0, 0) and opens down and to the right in quadrant 1. The curve goes through (4, 2). The inverse of f (x) starts at (0, 0) and curves up sharply and opens to the left in quadrant 1. The curve goes through (2, 4).

Question 10

Which function has an inverse that is also a function?

Revolt · Accepted Answer

{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Function Inverses Answers

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