Rational Function Asymptotes and Holes

Front

What is a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

What is a vertical asymptote?

Back

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D

Front

What is a horizontal asymptote?

Back

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CCSS.HSF-IF.C.7D

Front

How do you determine horizontal asymptotes for rational functions?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What is a hole in a rational function?

Back

A hole occurs in a rational function at a point where both the numerator and denominator are zero, indicating that the function is undefined at that point.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find holes in a rational function?

Back

To find holes, factor both the numerator and denominator, and identify common factors. The x-value of the hole is where the common factor equals zero.

Tags

CCSS.HSF-IF.C.7D

Front

Back

Tags

CCSS.HSF-IF.C.7D

Front

Back

Front

What happens to the function at a vertical asymptote?

Back

As the input approaches the vertical asymptote, the function's value approaches infinity or negative infinity.

Tags

CCSS.HSF-IF.C.7D