AA2 S2 Radical Transformations & Functions

What is the domain of ALL cube root functions?

• (−∞,∞)

• [0,∞)

• (−∞,0]

• All cube root functions are different.

Select ALL transformations for the function

• Shift right 6

• Shift left 6

• Reflect over the x-axis

• Shift down 4

Which graph represents the function?

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• 
• 
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What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Describe the transformations.

• Translate Right 2, Down 4
• Translate Left 2, Down 4
• Translate Left 2, Up 4
• Translate Right 2, Up 4

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

Identify the Range

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

• Vertical Reflection Only
• Horizontal Translation Only
• Vertical Translation Only
• Vertical Reflection and Vertical Translation
• Vertical Refl., Horizontal & Vertical Trans
• Vertical Reflection & Horizontal Translation
• Vertical Translation & Horizontal Translation

Find the domain and range of the function
Hint: use the calculator to see the graph

 $f\left(x\right)\ =\ -\sqrt{x-1}+4$  

• Domain: (-∞, ∞) Range: [-∞, 4]

• Domain: [1, ∞) Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞) 

• Domain: [4, ∞) Range: [-1,∞)