Cube Root Graph

Match the equation with the graph

What is the "a" value of the red function?

• 1

• -1

• 2

• -2

What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

Identify the transformations. 

• Vertical stretch by a factor of 2 and translated down 4 units

• Vertical compression by a factor of ½ and translated down 4 units

• Vertical stretch by a factor of 2 and translated up 4 units

• Vertical compression by a factor of ½ and translated right 4 units

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]

• Domain: [2, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, ∞)
  Range: (-∞, ∞)

• Domain: (-∞, 2]
  Range: [2, ∞)

What type of function is shown?

• Exponential 

• square root

• quadratic

• cube root

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

What is the equation of this function?

• f(x) = (x + 2)³

• f(x) = (x - 2)³

• f(x) = ∛(x + 2)

• f(x) = ∛(x - 2)

Identify the Transformations. 

• Down 2

• Up 2

• Reflection and stretch by 2

• Reflection and down 2

Describe the transformations of the graph shown.

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.

• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.

• none of the above.