Graphing Rational Equations

Name any holes of the function.

• x=0

• none

• x=3

• x=-3

Match the graph to the correct rational equation below.

• f(x)=-8/(x+2)  +  2

• f(x)=8/(x-2)  +  2

• f(x)=1/(x+2)  +  2

• f(x)=-1/(x+2)  -  2

Find the vertical asymptote(s).

• None

• x = 0

• x= 4

• x = -4, 4

What is the horizontal asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

Label the graph

b

c

d

e

a

Vertical Asymptote

x-axis

Horizontal Asymptote

origin

y-intercept

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1

• 3

• 1

• -3

State the vertical asymptotes:  
f(x) = 2 / (2x²+3x - 5)

• x = 1 , x = -5

• x = 1, x = -5/2

• x = -1/2, x = 5

• x = 0 , x = -5/2

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

• vertical

• horizontal

• end behavior

• none

What are the asymptotes?

• x=-1 y = -3

• x=1 y = -3

• x=-1 y =3

• x=1, y=3

What are the asymptotes?

• x=-3, y=1

• x=3, y =1

• x=-3, y =-1

• x=3 y=-1