rational functions

rational functions - MAC1105: Rational functions A function...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAC1105: Rational functions A function that represents a ratio of polynomials is called a rational function; Polynomial R(x) Polynomial = . In this class we will study rational functions of the form f(x) Linear function R(x) g(x) Linear function = = = = = = = = . The graphs of these particular rational functions are called hyperbolas . The study of hyperbolas in general is a topic from pre-calculus. Ex : Let 3x 12 R(x) x 2 + =- . We will graph this function by determining all of its intercepts and asymptotes. Intercepts: x : We find the x-intercept by setting the numerator equal to 0 and solving the equation 3x 12 3x 12 x 4 + = = - = - + = = - = - + = = - = - + = = - = - . So the x-intercept is at the point ( 4,0)- . y : We find the y-intercept by evaluating 3(0) 12 12 R(0) 6 (0) 2 2 + = = = - = = = - = = = - = = = --------- . So the y-intercept is at (0, 6)- ....
View Full Document

Ask a homework question - tutors are online