Square Root Functions Key Features

What is the Range of the function?
y = 4√x -1

• (0,-1)

• (∞,-1]

• [-1,∞)

• [4,-1]

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Describe the transformation.

• Vertical Stretch by 2

• Vertical Shrink by ⅓

• Horizontal Shrink by ⅓

• Horizontal Stretch by 3

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

Find the domain.

Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞) 

• Domain: [1, ∞) 

• Domain: [-1. ∞)

• Domain: [4, ∞)

Answer explanation

What is the y-intercept of the function?

Answer explanation

What is the Range of the function?

• (0,-1)

• (∞,-1]

• [-1,∞)

• [4,-1]

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

• 
• 
• 
• 

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)