Inverses of Function Equations

Are these inverse functions?

• no

• yes

• no way to tell

If the domain of f(x) is x ≥ 4, then the ____ of ____ is  y ≥ 4

• domain, f^-1(x)

• range, f(x)

• range, f^-1(x)

• domain, f(x)

The reverse or opposite of something is the _________________ .

• Range

• Coefficient

• Wrong Answer

• Inverse

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).

• A.
• B.
• C.
• D.

Given the domain of f(x) is [0, 7] and the range of f(x) is [-2, 5], what are the domain and range of f inverse?

• D: [-7, 0]

  R: [-5, 2]

• D: [-2, 5]

  R: [0, 7]

• D: [-2, 7]

  R: [0, 5]

• D: [-5, 2]

  R: [-7, 0]

• (–4, –4)

• (–1, 0)

• (0, 1)

• (0, 4)

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.

• Yes, they are inverses.

• No, they are not inverses.