MATH 1150 Lecture Notes - Lecture 9: Asymptote

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1150
• Professor: Rachida Aboughazi

Document Summary

Rational functions r(x)= r(x) is a rational function. To tell if it is a rational function: look at the tail of the graph, find vertical asymptotes and zeros. As x 0 + y . =/ 0 x=a is a va if q(a)=0 and p(a) x=a is a vertical asymptote. For 1/x, x=0 is the vertical asymptote because you cannot divide by 0. *need to make sure that the zeros of the denominator are not also the zeros of the numerator. As x -2 + (because if -1. 9 is plugged in, -/++ results, meaning a - answer total this means y - As x -2 - (because if -2. 1 is plugged in, -/-+ results, meaning a + answer total this means y . Then, do the same for x=-5 that + values are approached as -2 is approached from the negative side) that - values are approached as -2 is approached from the positive side)