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.

Front

What is the X-Intercept?

Back

The X-Intercept is the point where the graph of a function crosses the x-axis, which occurs when y=0.

Front

How do you find the x-intercept of a rational function?

Back

To find the x-intercept, set the numerator equal to 0 and solve for x.

Front

What is the Y-Intercept?

Back

The Y-Intercept is the point where the graph of a function crosses the y-axis, which occurs when x=0.

Front

How do you find the y-intercept of a rational function?

Back

To find the y-intercept, substitute x=0 into the function and solve for y.

Front

What are Asymptotes?

Back

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

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What is a Vertical Asymptote?

Back

A vertical asymptote occurs where the denominator of a rational function is equal to zero.

Front

What is a Horizontal Asymptote?

Back

A horizontal asymptote describes the behavior of a function as x approaches infinity or negative infinity.

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.

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What is the Range of a Rational Function?

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The range of a rational function is the set of all possible output values (y-values) of the function.