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.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find a vertical asymptote?

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

What is an asymptote?

Back

An imaginary line that your function never touches.

Tags

CCSS.HSF-IF.C.7D

Front

Back

y = 0.

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D

Front

Back

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of horizontal asymptotes?

Back

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

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

Compare the degrees of the numerator and denominator.

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

y = 0.

Tags

CCSS.HSF-IF.C.7D