Algebra
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Boundless Algebra
Polynomials and Rational Functions
Algebra Textbooks Boundless Algebra Polynomials and Rational Functions
Algebra Textbooks Boundless Algebra
Algebra Textbooks
Algebra

Section 5

Rational Functions

Book Version 13
By Boundless
Boundless Algebra
Algebra
by Boundless
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5 concepts
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Introduction to Rational Functions

A rational function is one such that $f(x) = \frac{P(x)}{Q(x)}$, where $Q(x) \neq 0$; the domain of a rational function can be calculated.

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Asymptotes

A rational function can have at most one horizontal or oblique asymptote, and many possible vertical asymptotes; these can be calculated.

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Solving Problems with Rational Functions

The $x$-intercepts of rational functions are found by setting the polynomial in the numerator equal to $0$ and solving for $x$.

Simplifying, Multiplying, and Dividing

A rational expression can be treated like a fraction, and can be manipulated via multiplication and division.

Partial Fractions

Partial fraction decomposition is a procedure used to reduce the degree of either the numerator or the denominator of a rational function.

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