Square Root Functions Key Features

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,∞) 

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• cube root

• quadratic

• cubic

• square root

Identify the function

• Cube Root

• Square Root

• Cubic

What is the equation of the function graphed?

• f(x) = (x-2)^1/2 + 5

• f(x) = (x+5)^1/2 - 2

• f(x) = (x+2)^1/2 + 5

• f(x) = (x-2)^1/2 - 5

Tags

CCSS.HSF-IF.C.7B

What is the equation of the function graphed?

• f(x) = (x-1)^1/2 + 2

• f(x) = 3(x-1)^1/2

• f(x) = 3(x+1)^1/2

• f(x) = 3(x+1)^1/2 + 2

Tags

CCSS.HSF-IF.C.7B

Graph each function.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

Determine the equation for the graph.

Tags

CCSS.HSF-IF.C.7B

Which function matches the graph?

• f(x) = √(x - 1) + 3

• f(x) = − √(x + 1) + 3

• f(x) = √(-x + 1) + 3

• f(x) = − √(x + 3) − 1

Tags

CCSS.HSF-IF.C.7B

• Linear

• Absolute Value

• Quadratic

• Square Root