Radicals and Inverse Functions

What is the parent function of square root functions?

• y = x

• y = √x

• y = -√x

• y = x²

Tags

CCSS.HSF-IF.C.7B

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

Which of these equations shifts a radical equation right 5 units and down one unit?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

Find the domain and range of the function.

• Domain: (-∞, ∞) Range: [-∞, 4]

• Domain: [1, ∞) Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞)

• Domain: [4, ∞) Range: [-1,∞)

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

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4

Tags

CCSS.HSN.RN.A.2

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B

Was the inverse function found correctly?

• no,

• yes

Tags

CCSS.HSF-BF.B.4A

• 7²
• 7^1/2
• 7^-2
• 7^-1/2

Tags

CCSS.HSN.RN.A.2

Rewrite in radical form.

• A

• B

• C

• D

Tags

CCSS.HSN.RN.A.2