5.2-3 RationalFunctions

# 5.2-3 RationalFunctions - Section 5.2(Sullivan 8th ed...

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

Section 5.2 (Sullivan, 8 th ed. MAC1140/MAC1147 5.2: RATIONAL FUNCTIONS A rational function R(x) is a quotient of two polynomials p(x)/q(x). The domain consists of all real numbers except those for which the denominator q = 0. An asymptote is a line to which a certain part of the graph of a function gets closer and closer but never touches. A rational function in lowest terms will have a vertical asymptote at any value of x that would cause the denominator q(x) = 0. Proper rational functions, where the degree of the numerator is less than that of the denominator, will have a horizontal asymptote at y = 0 . If the degree of the numerator is greater than or equal to that of the denominator, the horizontal or oblique asymptote can be found by long division; it will be the quotient without the remainder. The real zeros of a rational function are the values for which the numerator p(x) = 0. Graph using transformations; determine domain, range, asymptotes, and real zeros from the graph: 1.

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

View Full Document
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