Steps for Graphing Rational Functions

Front

What are holes in a rational function?

Back

Holes occur at values of x where factors in the numerator and denominator cancel out.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find holes in a rational function?

Back

Identify factors that cancel in the function.

Tags

CCSS.HSF-IF.C.7D

Front

What are vertical asymptotes in a rational function?

Back

Vertical asymptotes are lines that the graph approaches but never touches, occurring where the denominator is zero.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find vertical asymptotes in a rational function?

Back

Set the denominator equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D

Front

What are x-intercepts in a rational function?

Back

X-intercepts are points where the graph crosses the x-axis, occurring when the numerator is zero.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find x-intercepts in a rational function?

Back

Set the numerator equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D

Front

What is the first step in graphing rational functions?

Back

The first step is to factor the rational function.

Tags

CCSS.HSF-IF.C.7D

Front

What is the end behavior of a rational function?

Back

End behavior describes how the function behaves as x approaches positive or negative infinity.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of the degree of the numerator and denominator?

Back

The degree helps determine the end behavior and the number of asymptotes.

Tags

CCSS.HSF-IF.C.7D

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph approaches as x approaches infinity.

Tags

CCSS.HSF-IF.C.7D