Graphing Rational Functions

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

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 equals zero.

Front

What is the range of a rational function?

Back

The range of a rational function is the set of all possible output values, which can vary based on the function's behavior.

Front

What is a vertical asymptote?

Back

Tags

CCSS.HSF-IF.C.7D

Front

How do you find vertical asymptotes?

Back

Tags

CCSS.HSF-IF.C.7D

Front

What is a horizontal asymptote?

Back

Tags

CCSS.HSF-IF.C.7D

Front

How do you find horizontal asymptotes?

Back

To find horizontal asymptotes, analyze the degrees of the numerator and denominator polynomials.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of the degree of the numerator and denominator in rational functions?

Back

The degree of the numerator and denominator determines the behavior of the function at infinity and the existence of horizontal asymptotes.

Tags

CCSS.HSF-IF.C.7D

Front

What is a hole in a rational function?

Back

A hole occurs in the graph of a rational function at a point where both the numerator and denominator are zero, indicating a removable discontinuity.

Tags

CCSS.HSF-IF.C.7D

Front

What is the intercept of a rational function?

Back

Tags

CCSS.HSF-IF.C.7D