Cubed Root Functions

Which function matches the graph?

• A

  f(x) = (x + 3)^1/3 + 2

• B

  f(x) = − (x - 3)^1/3 + 2

• C

  f(x) = (x - 3)^1/3 + 2

• D

  f(x) = (x - 2)^1/3 + 3

• f(x) = (x - 3)³ +2

What is the Range for the graph?

• A

  (2, ∞)

• B

  (− ∞, 3)

• C

  (3, ∞)

• D

  (− ∞, ∞)

What is the Domain of ALL Cube Root Functions?

• (−∞,∞)

• [0,∞)

• (−∞,0]

• All Cube Root Functions are different.

What is the Range for the graph?

• y ≤ - 4

• y ≤ -2

• y ≥ - 2

• y ≥ -4

Which function matches the graph?

• f(x) = − ∛ (x + 3) − 1

• f(x) = − ∛(x - 3) − 1

• f(x) = ∛(x + 3) − 1

• f(x) = ∛(x - 1) + 3

What is the A-value of the function?

• 2

• 8

• -8

• -2

What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

Name the parent function.

• linear

• quadratic

• cube root

• cubic

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

• Domain: (-∞, ∞)

  Range: (-∞, ∞)

• Domain: [-6, ∞)

  Range: (-∞, ∞)

• Domain: (-∞, ∞)

  Range: (-∞, 3]

• Domain: [-7, ∞)

  Range: (-∞, 3]

Identify the Transformations. 

• Down 2

• Up 2

• Reflection and stretch by 2

• Reflection and down 2