Graphing Rationals

What is the vertical asymptote?

• x =-3

• y = -3

• x = 3

• y = 3

What is the horizontal asymptote?

• x = 2

• y = 2

• x =-2

• y=-2

Where is there a hole on the graph of the function?

• x = 2

• x = -2

• There are no holes.

• x = 5

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

What is/are the x-intercepts/zeros of this graph?

• (-2,0) and (2,0)

• (-2,0)

• (3,0)

• (2,0) and (3,0)

Find the hole of this function (if there is one).

• None

• (-4, 7/16)

• (4, 0)

• (1/2, 7/18)

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 horizontal asymptote to this function?

• y=1

• y=0

• none

• y=4

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on

• there is something left in the denominator

• the value of f(0)

• a factor in the denominator cancels with a factor in the numerator

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• none