Rational Functions and Their Graphs

Find the horizontal asymptote for the following function.

•  no horizontal asymptote

The graph of the rational function is shown to the left. What is the equation that represents this function?

The graph of the rational function is shown to the left. What is the equation that represents this function?

The graph of the rational function is shown to the left. What is the equation that represents this function?

What is the equation of the graph pictured?

Mathematical Equivalence

ON

Label the graph

b

c

d

e

a

origin

y-intercept

x-axis

Vertical Asymptote

Horizontal Asymptote

What are the restrictions on the domain of the following function?

Where is there a hole (point or removable discontinuity) in the graph of the following function?

Find the horizontal asymptote for the following function.

• no horizontal asymptote