Find the Inverse of the Square and Square Root Functions

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

Tags

CCSS.HSF-IF.C.7B

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function?

• f^-1(x) = (x - 8)², x ≥ 8

• f^-1(x) = (x - 8)², x ≥ 0

• f^-1(x) = (x + 8)², x ≥ 8

• f^-1(x) = (x + 8)², x ≥ 0

Tags

CCSS.HSF-BF.B.4D

What is the inverse of the function?

• f^-1(x) = x² - 3, x ≥ -3

• f^-1(x) = x² - 3, x ≥ 0

• f^-1(x) = x² + 3, x ≥ -3

• f^-1(x) = x² + 3, x ≥ 0

Tags

CCSS.HSF-BF.B.4A

Check if the following functions are inverses.

• Yes, inverses

• No, not inverses

Tags

CCSS.HSF-BF.B.4B

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF-BF.B.4B

What is the best description?

• Not inverses, and both are functions

• Inverses, and both are functions

• Not inverse, and they are not both functions.

• Inverses, and they are not both functions.

Tags

CCSS.HSF-BF.B.4B

Find the inverse of the function including any restriction on domain

• f^-1 = (x + 3)² − 4, x ≥ −3

• f^-1 = (x − 4)² + 3,  x ≥ 4

• f^-1 = (x + 3)² − 4

• Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

What is the inverse function of a quadratic (x²)?

• A square root function

• 2x

• Another quadratic

• A linear function

Tags

CCSS.HSF-BF.B.4D