HELPPP Graphing Asymptotes for Rational Functions

Two copies of the same Rational Functions are shown below.

On the graph on the left, draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath.

On the graph on the right, draw the Vertical Asymptote and write the equation for the Vertical Asymptote underneath.

Horizontal Asymptote:    y=2

Vertical Asymptote: x=3

Step-by-step explanation:

One way: Look at graph

Look at for a horizontal or vertical line that both lines don't touch.

Second Way:

When you look for vertical asymptotes, you set the denominator equal to zero and solve.

For example, the second question has a denominator of x-3.

x-3=0

x=3 (This is the vertical asymptote)

When you look for horizontal asymptote, you do long division.

For example, the first question

The answer will be 2. 2 is the quotient. You only want quotient not remainder.

y=2.