Square Root Functions Inverse Functions

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

Tags

CCSS.HSF-IF.C.7B

What function best describes this graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

Tags

CCSS.HSF-IF.C.7B

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)

Mathematical Equivalence

ON

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the inverse of the function?

• f^-1(x) = √(x - 2)

• f^-1(x) = √(x + 2)

• f^-1(x) = ± √(x + 2)

• f^-1(x) = ± √(x - 2)

Tags

CCSS.HSF-BF.B.4D

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

Mathematical Equivalence

ON

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the inverse of the function? *HINT* remember opposite!

• f^-1(x) = (x - 8)²

• f^-1(x) = (x - 8)

• f^-1(x) = (x + 8)²

• f^-1(x) = (x + 8)

Tags

CCSS.HSF-BF.B.4A

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]

• Domain: [1, ∞)  Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞) 

• Domain: [4, ∞) Range: [-1,∞) 

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

Tags

CCSS.HSF.BF.B.3