Graphs of Rational functions

Front

What is the domain of a rational function?

Back

The domain of a rational function is the set of 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 the set of all possible output values (y-values) that the function can produce.

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur at the values of x that make the denominator zero, provided these values do not also make the numerator zero.

Tags

CCSS.HSF-IF.C.7D

Front

What is a hole in the graph of a rational function?

Back

A hole occurs at a value of x where both the numerator and denominator are zero, indicating a removable discontinuity.

Tags

CCSS.HSF-IF.C.7D

Front

What is the horizontal asymptote of a rational function?

Back

The horizontal asymptote describes the behavior of the function as x approaches infinity or negative infinity, determined by the degrees of the numerator and denominator.

Tags

CCSS.HSF-IF.C.7D

Front

How do you determine the end behavior of a rational function?

Back

The end behavior can be determined by analyzing the leading coefficients and degrees of the numerator and denominator.

Tags

CCSS.HSF-IF.C.7D

Front

What transformations can be applied to the parent function of a rational function?

Back

Transformations include translations (up, down, left, right), reflections (over the x-axis or y-axis), and stretches or compressions.

Tags

CCSS.HSF.BF.B.3

Front

What is the parent function of a rational function?

Back

Front

How do you graph a rational function?

Back

To graph a rational function, identify the domain, range, asymptotes, intercepts, and plot points to understand the function's behavior.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of intercepts in a rational function?

Back

Intercepts (x-intercepts and y-intercepts) indicate where the graph crosses the axes, providing key points for graphing.

Tags

CCSS.HSF-IF.C.7D