Radical and Cube Root Functions

Which of the following is the function shown in the graph?

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Tags

CCSS.HSF-IF.C.7B

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

Tags

CCSS.HSF-IF.C.7B

What is the domain of the function in this graph?

• x ≤ 3

• x ≥ 3

• x ≤ 0

• x ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Identify the DOMAIN and RANGE

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Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 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,∞) 

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• x = 49
• x = 53
• x = 45
• x = 18

• x = -6
• x = 3
• x = -3
• x = 5±

Tags

CCSS.HSA.REI.A.2