Inverse Functions

What does an inverse function do?

• Nothing

• Makes it bigger

• "Undoes" all the operations of original function in reverse order

• Takes half of everything

Tags

CCSS.HSF.BF.B.4

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Tags

CCSS.HSF-BF.B.4B

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF.BF.B.4

What happens when you 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.4

What's the best description?

• They are both functions, but not inverse functions.

• They are reflections 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 because they both are functions and they are reflections of each other over y = x.

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Tags

CCSS.HSF.BF.B.4

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.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9