Key Features of Cube Root Functions

What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

Which of the facts is not true about the graph shown?

• The range is y ∈ ℝ

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2. 

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

• The range is y ≥ 1
• It has been reflected over the x-axis
• The function has been shifted up 1 unit
• The function has been shifted up 2 units

Which function matches the graph?

• f(x) = ∛(x + 3) + 2

• f(x) = − ∛(x - 3) + 2

• f(x) = ∛(x - 3) + 2

• f(x) = ∛(x - 2) + 3

Which graph represents the function?

• 
• 
• 
• 

Match the equation with the graph.

• 
• 
• 
• 

Which graph represents the function?

• 
• 
• 
• 

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

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

Match the equation with the graph