1 / 5

Understanding Polynomial and Inverse Functions

Learn about polynomial functions, graphs, behaviors, and inverse functions with examples and explanations. Explore symmetry in circles and relations. Discover how to find inverse functions and their domains and ranges efficiently.

mikko
Télécharger la présentation

Understanding Polynomial and Inverse Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Pg. 149 Homework • Pg. 149 #2 – 23 (every 3rd problem)Pg. 151 # 50 - 57

  2. 3.1 Graphs of Polynomial Functions Definition State whether the following are polynomials. • A polynomial function is one that can be written in the form:where n is a nonnegative integer and the coefficients are real numbers. If the leading coefficient is not zero, then n is the degree of the polynomial.

  3. 3.1 Graphs of Polynomial Functions End Behavior Number of “Bumps” The number of “bumps” a graph may have is no more than one less than the degree. The number of zeros a graph may have is no more than the number of the degree. • End behavior is determined by the degree and the leading coefficient. • Create Chart.

  4. 2.7 Inverse Functions Inverse Functions Show that g(x) = will have an inverse function. Find the inverse function and state its domain and range. Prove that the two are actually inverses. Will h(x) = x2 – 2xwill have an inverse function? • Show that f(x) = will have an inverse function. • Find the inverse function and state its domain and range. • Prove that the two are actually inverses.

  5. 2.6 Relations and Parametric Equations Circles Symmetry Determine the type of symmetry, if any, of the equations below. • Write the following equation of a circle in standard form and state the center and radius.

More Related