Cubic and Cube root graphs and transformations

What is the inflection point (point of rotational symmetry) for this function?

• (3,2)

• (-3,-2)

• (0,0)

• (-2,-3)

What is the inflection point (point of rotational symmetry) for this function?

• (1,1)

• (-1,-1)

• (1,0)

• (-1,1)

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

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

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, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the transformation of the graph y = -2(x + 5)³

• Vertical compression by 2, Reflected over y-axis, Right 5

• Vertical stretch by 2, Reflected over x-axis, Left 5

• Vertical stretch by 2, Reflected over x-axis, Right 5

• Vertical compression by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

What is the equation of this function? Remember up and down is cubic and left to right is cube root! Find the inflection point, the middle of the graph

• f(x) = (x + 2)³
• f(x) = (x - 2)³
• f(x) = ∛(x + 2)
• f(x) = ∛(x - 2)

Tags

CCSS.HSF-IF.C.7B

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

Which of the following is the equation for the cubic function graphed above

• 
• 
• 
• 

What type of function is shown?

• Exponential 
• square root
• quadratic
• cube root

Tags

CCSS.HSF-IF.C.7B