3.7 Rational functions

3.7 Rational functions - 3.7 Rational functions Sunday 8:52...

This preview shows pages 1–3. Sign up to view the full content.

A rational function is a function that is a ratio of two polynomials Ex. A function is undefined if its denominator =0. Where does this occur on the above? Often, we have cases where, as the function approaches x-values where the function is undefined (where the denominator is approaching zero), the value of the function grows very fast. These are called asymptotes. Remember that say, if you have the number 2 divided by a number that is really small, say 0.000000001 (which is close to 0), we get a large number. #1 Give equations of the horizontal and vertical asymptotes for the following function: 3.7 Rational functions Sunday, September 01, 2013 8:52 PM 3.7 Page 1

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

View Full Document
The vertical asymptotes are related to x values that make the function undefined. The horizontal asymptotes are related to what happens to the value of the function when x is really big or really small (approaching positive or negative infinity) See what happens when you try to evaluate at x=-5 Sometimes these vertical asymptotes show up as weird lines on our calculator.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern