Rational Function Graphs

Front

What is a rational function?

Back

Front

What is a vertical asymptote?

Back

Front

How do you find vertical asymptotes of a rational function?

Back

To find vertical asymptotes, set the denominator of the rational function equal to zero and solve for x.

Front

What is a horizontal asymptote?

Back

Front

How do you determine horizontal asymptotes for rational functions?

Back

Front

What is a hole in a rational function?

Back

A hole occurs in a rational function at a value of x where both the numerator and denominator are zero, indicating that the function is not defined at that point.

Front

How do you find holes in a rational function?

Back

To find holes, factor both the numerator and denominator, and identify common factors that cancel out.

Front

What are the zeros of a rational function?

Back

The zeros of a rational function are the values of x that make the numerator equal to zero, indicating where the function crosses the x-axis.

Front

How do you find the zeros of a rational function?

Back

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

Front

What is the significance of the degree of a polynomial in rational functions?

Back

The degree of a polynomial affects the behavior of the function, including the number of zeros, vertical and horizontal asymptotes.