Cubic Cube Root Relationship

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

Identify the Transformations. 

• 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

Tags

CCSS.HSF.BF.B.3

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

What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

Tags

CCSS.HSF-IF.C.7B

Tags

CCSS.8.EE.A.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)

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• linear

• quadratic

• cube root

• cubic

Which of the following is the graph of y = (x – 1)³ – 7?

• 
• 
• 
• 

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

• (−∞,∞)

• −∞<x<∞

• (−∞,0]

• All Cube Root Functions are different.

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• reflection over the x-axis,vertical compress by a factor of 5

• reflection over the y-axis,vertical compress by a factor of 5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3