5.3.lesson.part2

5.3.lesson.part2 - 5.3.lesson.notebook October24,2008 5.3...

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

View Full Document Right Arrow Icon
5.3.lesson.notebook 1 October 24, 2008 Oct 22­4:36 PM 5.3 Graphing Rational Functions Example #1: Consider the following reciprocal functions: SET A - linear denominators (ie. reciprocals of linear functions) f(x) = 2x - 3 g(x) = 1/(2x - 3) f(x) = -0.5x +1 g(x) = 1/(-0.5x + 1) Note: the function has opposite end behaviour with a min of one zero, V.A.(vertical asymptotes) occur when H.A. (horizontal asymptotes) occur at Oct 22­5:12 PM SET B - quadratic denominators (ie. reciprocals of quad. functions) f(x) = (x - 1) 2 - 3 g(x) = 1/(x - 1) 2 - 3 f(x) = -(x - 2) 2 + 3 g(x) = 1/-(x - 2) 2 + 3 Note: the function has the same end behaviour with a min of no zeros, V.A.(vertical asymptotes) occur when H.A. (horizontal asymptotes) occur at Oct 22­8:07 PM f(x) = (x + 2) 2 g(x) = 1/(x + 2) 2 SET B (continued) - quadratic denominators f(x) = (x + 2) 2 + 2 g(x) = 1/(x + 2) 2 + 2 Note: the function has the same end behaviour with a min of no zeros, V.A.(vertical asymptotes) occur when H.A. (horizontal asymptotes) occur at Oct 22­8:13 PM Example #2: Consider rational functions with a linear numerator and denominator of the form:
Image of page 1

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

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

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern