Characteristics of Cubic Functions

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

What is the domain?

• x = 2
• −∞ < x < ∞
• y = 2
• none of these

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which of the following is the graph of  $y=\left(x-2\right)^3-4$  

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Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

Which of the following is the graph of  $y=\left(x+5\right)^3-1$  

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Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

Which of the following is the graph of  $y=-\left(x-4\right)^3+2$  

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

All polynomial functions have a domain of  $-\infty<x<\infty$  

• True

• False

What is the range of this quadratic function?

• All real numbers.
• [2, infinity)
• [4, infinity)
• (negative infinity, 4]

Identify the increasing interval:

• (0, 4)
• (1, 0) U (1, 4)
• (-1, 1)
• (-∞, -1) U (1, ∞)

Tags

CCSS.HSA.REI.D.10

  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.APR.A.1

CCSS.HSA.REI.D.11

What is the y-intercept of the following cubic function?

• (1, 0)
• (0, 2)
• (-1, 0)
• (2, 0)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7