Cube Root and Cubic Functions

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 is the equation for the red function? 

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.APR.A.1

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.HSF.IF.B.5

CCSS.8.F.A.1

What is the equation of this function?

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

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left. 
• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 
• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 
• none of the above.

Tags

CCSS.HSF.BF.B.3

Find the inverse 
f(x)= (x-2)⁵+3

• ⁵√(x-3) +2
• -2+x⁵
• (x+1)⁵+3
• ⁵√(x+2)-3

Tags

CCSS.HSF-BF.B.4A

If f(x) = ∛(x - 1) + 6 is shifted down 2 and right 7, what is the new range?

• [4, ∞)
• [8, ∞)
• (-∞, 4]
• (-∞, ∞)

Tags

CCSS.HSF.BF.B.3

If f(x) = (x - 1)³ + 4 is shifted up 3 and left 2, what is the new domain?

• (-∞, ∞)
• [-1, 7]
• [-1, ∞)
• (-∞, 7]

Tags

CCSS.HSF.BF.B.3