2023 - 2024 - Graphing Rational Functions

Front

What is a rational function?

Back

A function that can be expressed as the ratio of two polynomials.

Front

What is an asymptote?

Back

An imaginary line that your function never touches.

Front

What are vertical asymptotes determined by?

Back

The values that make the denominator of a rational function equal to zero.

Front

What is a horizontal asymptote?

Back

A horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

How do you find vertical asymptotes?

Back

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

Front

What does the horizontal asymptote indicate?

Back

The behavior of the function as x approaches infinity.

Front

Back

Front

Back

Front

What happens to the graph of a rational function at a vertical asymptote?

Back

The graph approaches the asymptote but never crosses it.

Front

What is the end behavior of a function?

Back

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