Domain and Range of Cube roots and Square Roots functions

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?

• A

  -4 ≤ x < ∞

• B

  − ∞ < x ≤ -2

• C

  -2 ≤ x < ∞

• D

  − ∞ < x ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the Range for the graph?

• A

  -4 ≤ y < ∞

• B

  − ∞ < y ≤ -2

• C

  -2 ≤ y < ∞

• D

  − ∞ < y ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF-IF.C.7B

Identify the Range

• (- ∞, -2 ]
• [ -2, ∞ )
• All Real Numbers
• [ 0, ∞)

What is the Domain of ALL Cube Root Functions?

• (−∞,∞)
• [0,∞)
• (−∞,0]
• All Cube Root Functions are different.

What is the center point of the function (h,k)?

• (5,-3)
• (5,3)
• (-5,-3)
• (-5,3)

Tags

CCSS.HSF-IF.C.7B