Test - Chapter 3 Inverse Functions

If a given function f(x) has an inverse function g(x), which of the following statements is true?

• If (a, b) is on the graph of f(x), then the inverse graph of g(x) must contain (–a, –b).

• If (a, b) is on the graph of f(x), then the inverse graph of g(x) must contain (–b, –a).

• If f(x) has an x-intercept at (c, 0), then the x-intercept of the inverse graph g(x) must be (c, 0).

• If f(x) has an x-intercept at (c, 0), then the y-intercept of the inverse graph g(x) must be (0, c).

The table contains the values of functions f(x).

• 
• 
• 
• 

• The domain of g(x) cannot be determined.

• (–4, –4)

• (–1, 0)

• (0, 1)

• (0, 4)

Which statement best describes the domain of f(x)?

• The domain of f(x) is the same as the domain of both g(x) and h(x).

• The domain of f(x) is the same as the range of both g(x) and h(x).

• The domain of f(x) contains all the real numbers greater than zero.

• The domain of f(x) contains all the real numbers less than zero.

• (0, 5)

• (0, 2)

• (2, 3)

• (3, 1)

Determine whether or not the functions shown in the graph are inverse functions. Explain your reasoning.

• Yes , they are inverses. The inverse graph has the same opposite points.

• Yes, they are inverses. The graph does not reflect over y = x.

• No, they are not inverses. The points on the graph have the same opposite points.

• No, they are not inverses. does not reflect over y = x.