Rational Functions Practice

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.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a vertical line x = a where a function approaches infinity or negative infinity as the input approaches a.

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes can be found by setting the denominator of the rational function equal to zero and solving for x.

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 horizontal asymptote of a rational function?

Back

The horizontal asymptote is a horizontal line that the graph of the function approaches as x approaches infinity or negative infinity.

Front

How do you find horizontal asymptotes?

Back

Horizontal asymptotes can be found by comparing the degrees of the numerator and denominator polynomials.

Front

What happens to a rational function at its vertical asymptotes?

Back

At vertical asymptotes, the function's value approaches infinity or negative infinity.

Front

What is the significance of the numerator in a rational function?

Back

The numerator determines the function's value and can affect the location of x-intercepts.

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, found by setting the numerator equal to zero.

Front

What is a hole in a rational function?

Back

A hole occurs in a rational function when a factor cancels out in both the numerator and denominator.