9.2 GRAPHING SIMPLE

RATIONAL FUNCTIONS

VOCAB The graph of a simple rational

function is called a hyperbola. Graph is made of two symmetrical

parts called branches.

GRAPHING To graph without making a table:1. Sketch in the asymptotes:

x = h and y = k2. Choose two x values on each side

of the vertical asymptote. 3. Plug them in and plot the 4

points.4. Draw in the branches. (Be sure

not to cross the asymptotes!)

EXAMPLE Graph

State the domainand range.

YOUR TURN! Graph

State the domainand range.

OTHER RATIONAL FUNCTIONS Some rational functions have the

form

Vertical asymptote is at the x value that makes the denominator = 0

Horizontal asymptote is the line

EXAMPLE Graph

State the domainand range.

YOUR TURN! Graph

State the domainand range.