Non-Linear Functions Test Review

The function g(x), shown on the graph, was obtained by translating the graph of  $f\left(x\right)=\frac{1}{x}$  . Which description best describes the transformations performed on  to obtain ?

• Translation right 2 and up 4

• Translation left 2 and up 4

• Translation right 2 and down 4

• Translation left 2 and down 4

What is the name of the parent function and equation for the graph?

• Cubic - y = x³
• Cube Root - y = ∛x
• Exponential - y = 2^x
• Logarmithic - y = log(x)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the rational function graphed?

• $f\left(x\right)=\frac{1}{x-2}$

• $f\left(x\right)=\frac{1}{x+2}$

• $f\left(x\right)=\frac{1}{x}+2$

• $f\left(x\right)=\frac{1}{x}-2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

How is this function transformed from the parent function?

• Translated left 5 and up 1

• Translated right 5 and up 1

• Translated left 5 and down 1

• Translated right 5 and down 1

Which of the following parent functions have a range of  $\left[0,\infty\right)$  ?    Select all that apply.

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following parent functions does not have a domain

 $\left(-\infty,\infty\right)$  ?

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

  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

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

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How is the graph of $y=\left(x-5\right)^2-2$ transformed to produce the graph of  $y=\frac{1}{4}\left(x+1\right)^2$ ? 

• The graph is translated left 6 units, compressed vertically by a factor of  $\frac{1}{4}$ , and translated up 2 units.

• The graph is stretched vertically by a factor of  $\frac{1}{4}$  , translated left 6 units, and translated up 2 units.

• The graph is translated left 6 units, compressed horizontally by a factor of  $\frac{1}{4}$  , and translated down 2 units.

• The graph is stretched horizontally by a factor of  $\frac{1}{4}$  , translated left 6 units, and translated down 2 units.