Horizontal Asymptotes of Rational Expressions

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input (x) approaches positive or negative infinity.

Front

How do you determine the horizontal asymptote of a rational function when the degrees of the numerator and denominator are equal?

Back

If the degrees of the numerator and denominator are equal, the horizontal asymptote is given by the ratio of the leading coefficients.

Front

Back

Front

Back

Front

Back

Front

Back

None.

Front

Back

Front

How do you determine the horizontal asymptote of a rational function when the degree of the numerator is less than the degree of the denominator?

Back

Front

How do you determine the horizontal asymptote of a rational function when the degree of the numerator is greater than the degree of the denominator?

Back

If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

Front

Back