5.4 Cube Root Graphs

What is the Domain of ALL Cube Root Functions?

• (−∞,∞)
• [0,∞)
• (−∞,0]
• All Cube Root Functions are different.

What is the Range of ALL Cube Root Functions?

• (−∞,∞)
• [0,∞)
• (−∞,0]
• All Cube Root Functions are different.

f(x) = ⅔(x - 7)² 

• Vertical compression of ⅔
  Right 7
• Horizontal compression of ⅔
  Left 7
• Vertical stretch of ⅔
  Right 7
• Horizontal stretch of ⅔
  Left 7

Identify the parameter changes on the parent functions. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

Name the parent function.

• linear
• quadratic
• cube root
• cubic

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Which function matches the graph?

• A

  f(x) = ∛(x + 3) + 2

• B

  f(x) = − ∛(x - 3) + 2

• C

  f(x) = ∛(x - 3) + 2

• D

  f(x) = ∛(x - 2) + 3

How many x-intercepts does the cubic function graph have?

• 1
• 2
• 3
• ?

• Shift Left 4

  and

  Shift Down 6

• Shift Left 4

  and

  Shift Up 6

• Shift Right 4

  and

  Shift Down 6

• Shift Up 4

  and

  Shift Left 6

• Shift Left 4

  and

  Shift Down 6

• Shift Left 4

  and

  Shift Up 6

• Shift Right 4

  and

  Shift Down 6

• Shift Up 4

  and

  Shift Left 6