Section 4.5 - Section 4.5 Rational Functions Recall, a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 4.5 Rational Functions Recall, a rational number is any number that can be written as a fraction. A rational function is a function that is a fraction. A rational function is a function f that is a quotient of two polynomials. Then is, where p(x) and q(x) are polynomials and where q(x) is not the zero polynomial. the domain of f consists of all inputs x for which q(x) 0. See pictures p. 342. Finding Asymptotes Asymptotes are imaginary lines the graph of a rational function approaches. They are useful when sketching the graph of a rational function. Asymptotes may be vertical, horizontal or oblique (slant). Your calculator will show vertical and oblique asymptotes but not horizontal asymptotes. Remember the equation of a vertical line is x = a # and the equation of a horizontal line is y = a #. See pictures p. 345, 346, 350. To find asymptotes: Reduce rational functions to lowest terms, if possible, by factoring and cancelling. Vertical asymptotes are located at zeros of the denominator.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/12/2011 for the course MATH 1513 taught by Professor Staff during the Fall '08 term at Oklahoma State.

Page1 / 2

Section 4.5 - Section 4.5 Rational Functions Recall, a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online