Domain and Range of Root Functions

Range is:

• All x values, from left to right.

• All y values, from left to right. 

• All y values, from bottom to top.

• All x values, from bottom to top.

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,∞) 

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

State the domain:

• (-oo, 4)

• (-oo, 2]

• [2, oo)

• [4, oo)

If the endpoint of the graphed square root is at (3,5), the domain is​ (a)   and the range is​ (b)  

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)

What is the Range?

• -5 < y < 5

• -5 < y < 7

• -7 < x< 5

• -5 < x < 7

What is the DOMAIN of this square root function?

• all real numbers