Retake Unit 8 Test Rational Equations and Functions

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{2x^2-2}{x^2-4x+3}$  

• Vertical Asymptote. at x = -3 and x = 1

• Hole at (1, 0)

• Horizontal Asymptote at y = 2

• x-intercepts at (3,0) and (1, 0)

Select ALL the information that applies to the given rational function.
 $f\left(x\right)=\frac{x-3}{-2x^2+8x-6}$  

• Vertical Asymptote. at x = 1

• No Holes

• Horizontal Asymptote. at y = 0

• y-intercept at (0, 1/2)

Graph the function.

 $f\left(x\right)=\frac{-x+1}{x-4}$  

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 Graph the function.

 $f\left(x\right)=\frac{-2x^2+2x+24}{x^3-x^2-12x}$ 

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What are the x-intercepts?

• x= 2/3
• x= 4, x = -2
• x= -8, x = 1
• x= -4, x = 2

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Add Fractions

• A
• B
• C
• D