Rational Functions Quiz

Graph the function.

 $f\left(x\right)=\frac{-x+1}{x-4}$  

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Tags

CCSS.HSF-IF.C.7D

State the vertical and horizontal asymptotes of the function.

• $x=-5,y=-1$

• $x=5,y=1$

• $x=-1,y=5$

• $x=5,y=-1$

Tags

CCSS.HSF-IF.C.7D

What is the domain?

• $x\ne2$

• $x\ne-2$

• $x\ne7$

• $x\ne-7$

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.B.5

Simplify.       $\frac{35n-25}{63n-45}\cdot\frac{9n+9}{n^2+7n+6}$  

• $\frac{20}{n-4}$

• $\frac{5}{n+6}$

• $5\left(n-9\right)$

•  $\frac{n+9}{7n}$ 

Tags

CCSS.HSA.APR.D.6

Simplify. $\frac{a^2-5a-14}{a-7}\div\frac{a^2-a-6}{5a^3+30a^2}$  

•  $\frac{a+9}{15a}$  

•  $\frac{5a^2\left(a+6\right)}{a-3}$  

•  $\frac{1}{a-1}$  

•  $\frac{9a}{a+9}$  

Tags

CCSS.HSA.APR.D.6

What are the vertical asymptotes of f(x)=(x²+3)/(x²+x-6)?

• x=3, x=-2

• x=3, x=2

• x=-3, x=-2

• x=-3, x=2

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of f(x)=(3x²+7)/(x²-2x-3)?

• y=⅓

• y=0

• None

• y=3

Tags

CCSS.HSF-IF.C.7D

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

Tags

CCSS.HSA.APR.D.6

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

Tags

CCSS.HSA.APR.D.6

Identify the vertical and horizontal asymptotes of the function.

 $f\left(x\right)=\frac{5x}{x+2}$  

• Horizontal asymptote: y= -5
  Vertical Asymptote: x= 2

• Horizontal asymptote: y= 2
  Vertical Asymptote: x= 5

• Horizontal asymptote: y= 5 

  Vertical Asymptote: x= -2

• (5, 2)

Tags

CCSS.HSF-IF.C.7D