5.2 Lesson Quotients _of_Polynomials

5.2 Lesson Quotients _of_Polynomials -...

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

View Full Document Right Arrow Icon
5.2.Lesson_QuotientsofPolynomials.notebook 1 October 23, 2009 5.2 Exploring Quotients of Polynomial Functions Definition: A rational function is a function that can be expressed as where p(x) and q(x) are polynomial functions, q(x) ≠0. When we divide two polynomial functions, the rational function that is created could have one or more of the following discontinuities: Vertical Asymptotes (vertical lines where the function is undefined) Holes ( points where the function is undefined) Horizontal asymptotes Oblique asymptotes DISCONTINUOUS RATIONAL FUNCTIONS (A) Rational Functions with Holes Holes will occur in a graph of a function when the indeterminate form occurs. How do we know where there is a hole in a function? Example #1: Sketch the graph of the function
Background image of page 1

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

View Full DocumentRight Arrow Icon
5.2.Lesson_QuotientsofPolynomials.notebook 2 October 23, 2009 Example #2: Find the holes and vertical asymptote for the following function. Use the information to sketch the function.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

5.2 Lesson Quotients _of_Polynomials -...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online