rational functions

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line that a graph approaches but never touches, found by setting the denominator of a rational function to zero.

Front

How do you find a vertical asymptote?

Back

Set the denominator of the rational function equal to zero and solve for x.

Front

What is an asymptote?

Back

An imaginary line that your function never touches.

Front

Back

y = 0.

Front

What does the end behavior of a function describe?

Back

The behavior of the graph as x approaches positive or negative infinity.

Front

Back

The graph approaches y=5.

Front

Back

Front

What is the significance of horizontal asymptotes?

Back

Horizontal asymptotes indicate the value that a function approaches as x approaches infinity.

Front

How do you determine the horizontal asymptote of a rational function?

Back

Compare the degrees of the numerator and denominator.

Front

If the degree of the numerator is less than the degree of the denominator, what is the horizontal asymptote?

Back

y = 0.