A2 Graphing Rational and Reciprocal 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.

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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.

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Back

The range is all real numbers except 0.

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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 the numerator is not also zero at those points.

Front

What is a reciprocal function?

Back

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Front

What does it mean to translate a function?

Back

Translating a function means shifting its graph horizontally and/or vertically without changing its shape.

Front

What is the effect of a negative sign in front of a rational function?

Back

A negative sign reflects the graph of the function across the x-axis.

Front

How do you determine the x-intercepts of a rational function?

Back

The x-intercepts are found by setting the numerator equal to zero and solving for x.