Characteristics of Square Root Functions

What is the equation of the graph?

• y = -√(x + 5)

• y = √(x) - 2

• y = √(x - 3)

• y = -√(x) + 3

Describe the transformations.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

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 is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

What is the range of the function in this graph?

• (-infinity, 3]

• [3, infinity)

• (-inifnity, 0]

• [0 infinity)

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

What is the End Behavior?

What type of function is shown?

• quadratic

• square root

• linear

• exponential

• rational

Is this function increasing or decreasing?

• Increasing

• Decreasing

What is the domain of the function in this graph?

• (-∞, 3]

• [3, ∞)

• (-∞, 0]

• [0, ∞)