Rational Functions

Front

What is a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

What is the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator is zero.

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 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 the significance of the leading coefficient in rational functions?

Back

The leading coefficient affects the end behavior of the function and helps determine horizontal asymptotes.

Tags

CCSS.HSF-IF.C.7D

Front

What does it mean for a function to be undefined?

Back

A function is undefined at points where the denominator equals zero, leading to division by zero.

Tags

CCSS.HSF-IF.C.7D

Front

What is the relationship between the graph of a rational function and its asymptotes?

Back

The graph of a rational function will approach its vertical asymptotes but never touch them, and it may approach horizontal asymptotes as x approaches infinity.

Tags

CCSS.HSF-IF.C.7D

Front

How can you identify the x-intercepts of a rational function?

Back

To find x-intercepts, set the numerator equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D