Rational Functions

What is the horizontal asymptote of this rational function?

What is the y-intercept for this rational function?

Match the graph to the correct rational equation below.

• f(x)=x²/(x²+x-12)

• f(x)=4x²/(x²-x-12)

• f(x)=(2x²-2)/2x²

• f(x)=x/(x²+x-12)

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

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

• y=⅓

• y=0

• None

• y=3

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

What is/are the hole(s) in the graph of f(x)=(3x²+14x+8)/(x²+9x+20)?

• x=4

• x=-4

• None

• x=⅖ and -4

Which of the following is the graph of f(x)=((-2)/(x+3))+4?

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• 
• 
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• HA at y = 0

• HA at y = -2

• VA at x = -2

• No Holes

Which of the following statementS are true about the following function: (Choose all answers that apply)

• Hole at x = 0

• No HA

• VA at x = 1

• VA at x = -1