Match Rational

What are the x-intercepts?

• x= 2/3

• x= 4, x = -2

• x= -8, x = 1

• x= -4, x = 2

What is the horizontal asymptote to this function?

• y=4

• y=0

• y=-2

• y=1

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

What is the horizontal asymptote?

• y = -4

• y = 1

• x = 1

• y = -6

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

What is the domain?

• All real numbers

• All real numbers except 4

• All real numbers except 2

• All real numbers except 2 and -2

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

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)