Domain and Range of Square and Cube Root

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)

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 for the graph?

• -4 ≤ x < ∞

• − ∞ < x ≤ -2

• -2 ≤ x < ∞

• − ∞ < x ≤ -4

What is the Range for the graph?

• A

  -4 ≤ y < ∞

• B

  − ∞ < y ≤ -2

• C

  -2 ≤ y < ∞

• D

  − ∞ < y ≤ -4

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

What is the Range of ALL Cube Root Functions?

• (−∞,∞)

• [0,∞)

• (−∞,0]

• All Cube Root Functions are different.

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 ALL Cube Root Functions?

• (−∞,∞)

• [0,∞)

• (−∞,0]

• All Cube Root Functions are different.

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

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.