Inverses, Cubic and Cube Root

Find the inverse of y=((x+5)/6)³

• y = 6∛x - 5

• y = ∛(x+5/6)

• y = (6x - 5)³

• y = (1/6x+5)³

Tags

CCSS.HSF-BF.B.4A

Find the inverse of y = ∛x + 4

• y = (x - 4)³

• y = ∛(x-4)

• y = x³ - 4

• y = ∛x - 4

Tags

CCSS.HSF-BF.B.4A

• Yes, they are inverse functions with no restriction

• No, they are not inverses

Tags

CCSS.HSF-BF.B.4D

The cube root function is invertible.

• True

• False

Tags

CCSS.HSF-BF.B.4D

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

Tags

CCSS.HSF-BF.B.4B

What is the DOMAIN of the function in this graph?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which statement is TRUE?

• The domain of the inverse is the same as the original function.

• The domain and range of cube root function are both (-inf, inf).

• If the range of a square root function is [6, inf), the domain of its inverse is (inf, 6].

What type of function is shown?

• Exponential 

• square root

• quadratic

• cube root

Tags

CCSS.HSF-IF.C.7B