Features of Radical Functions

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

Which of the following correctly describes the domain and range for the function graphed?

• D: [-5, infinity) R: (-infinity, 4]

• D: [-5, infinity) R: [4, -infinity)

• D: (-infinity, infinity) R: (-infinity, infinity)

• D: [4, infinity) R: (-infinity, -5]

Identify the domain

• (-2,5)

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

What is the range of this radical function?

• All real numbers except 0

• [0,∞)

• (0,∞]

• [1,∞)

• (1,∞]

Identify the type of function.

• Exponential

• Logarthmic

• Polynomial

• Radical

Describe all the transformations applied on the parent radical function

• Phase Shift 3 to the right

• Compress of factor 2

• Vertical shift 3 up

• Vertical shift 3 down.

• Stretch of factor 2.

What are the asymptotes?

• x=-3, y=1

• x=3, y =1

• x=-3, y =-1

• x=3 y=-1

What is the domain of the graph of the radical function?

What is the range of the graph of the radical function?