Rational Functions

Front

What is a rational function?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What are asymptotes in the context of rational functions?

Back

Asymptotes are lines that the graph of a function approaches but never touches. They can be vertical, horizontal, or oblique.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur where the denominator of the rational function is equal to zero, provided the numerator is not also zero at that point.

Tags

CCSS.HSF-IF.C.7D

Front

What is the equation of a vertical asymptote?

Back

Tags

CCSS.HSF-IF.C.7D

Front

How do you find horizontal asymptotes of a rational function?

Back

Tags

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 the range of a rational function?

Back

The range of a rational function is all real numbers except for the values that the function approaches but never reaches, often determined by horizontal asymptotes.

Front

How do you translate the graph of a rational function?

Back

To translate the graph of a rational function, you adjust the function's equation by adding or subtracting values from the x or y variables.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of the horizontal asymptote in a rational function?

Back

The horizontal asymptote indicates the behavior of the function as x approaches infinity or negative infinity.

Tags

CCSS.HSF-IF.C.7D

Front

What does it mean if a rational function has no vertical asymptotes?

Back

If a rational function has no vertical asymptotes, it means that the denominator does not equal zero for any real number, indicating that the function is defined for all real numbers.

Tags

CCSS.HSF-IF.C.7D