Graphing Rational Functions

Graph the function.

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Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, 0)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)

Select all the information that applies to the given rational function.

• V.A. at x = -1

• No Holes

• H.A. at y = -1/4

• x-intercepts at (0,0) and (-1,0)

Select all the information that applies to the given rational function.

• V.A. at x = 2

• No Holes

• H.A. at y = -1/3

• y-intercepts at (0, 1/2)

Select all the information that applies to the given rational function.

• No V.A.

• No Holes

• O.A. at y = x-3

• no x-intercepts or y-intercepts

Select all the information that applies to the given rational function.

• V.A. at x = 3 and x = -1

• No Holes

• 0.A. at y = x + 5

• y-intercept at (0,0)

• A
• B
• C
• D

What are the asymptotes

• x=1, x= 2, y =1, y= 2

• x= 1, x=-1, y = 1

• x=1 y =1

• x=-1, y =1, y =-1

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 are the asymptotes?

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2, y = 1

• x=2 y =-1

• x=1 y =2, y =-2