Function Transformations and Inverses

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'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

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 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

What is the parent function of square root functions?

• f(x) = x

• f(x) = √x

• f(x) = -√x

• f(x) = x²

Determine whether the functions are inverses of each other.

f(x)=5x+2 g(x)=(x-2)/5

• Yes, f(g(x))=g(f(x))=x

Tags

CCSS.HSF-BF.B.4B

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

• f(x)

• f^-1(x)

• y

• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Tags

CCSS.HSF-BF.B.4B

Describe the transformation of the graph y = -(x - 4)³ + 5

• Up 5 and Left 4

• Reflect over x-axis, Left 4, Up 5

• Reflect over x-axis, Right 4, Up 5

• Right 4 and up 5

Tags

CCSS.HSF.BF.B.3

Describe all transformations from the rational parent function g(x)=1/x to the given function f(x)

• Shift right 5 and shift up 7

• Shift left 7 and shift up 5

• Reflect over the x-axis, shift up 7

• Shift left 5 and shift up 7

Tags

CCSS.HSF.BF.B.3