Inverse Graphs Cubic

Which parent graph does this table go with?

• Absolute Value

• Quadratic

• Square Root

• Cubic

Tags

CCSS.HSF-IF.C.7B

Which parent graph does this table go with?

• Absolute Value

• Quadratic

• Square Root

• Cubic root

Tags

CCSS.HSF-IF.C.7B

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

The cube root function is invertible.

• True

• False

Which is f^-1(x)?

• f^-1(x)=3∛(x-6)

• f^-1(x)=-6+3∛x

• f^-1(x)=∛(3x-18)

• f^-1(x)=3(x-6)³

Tags

CCSS.HSF-BF.B.4A

Which is f^-1(x)?

• f^-1(x)=4+∛(x+5)

• f^-1(x)=∛(x+4) +5

• f^-1(x)=5+(x+4)³

• f^-1(x)=4+(x+5)³

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the given function?

Tags

CCSS.HSF-BF.B.4A

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

Tags

CCSS.HSF-BF.B.4B

• (–4, –4)

• (–1, 0)

• (0, 1)

• (0, 4)

Tags

CCSS.HSF-BF.B.4C

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).

Tags

CCSS.HSF-BF.B.4C