1 / 9

Understanding Even and Odd Functions in Graphs

Learn about even and odd functions, determining symmetry, identifying increasing or decreasing functions, finding local and absolute minimums and maximums, and recognizing asymptotes in graphs. Practice with problem sets.

bohan
Télécharger la présentation

Understanding Even and Odd Functions in Graphs

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. 2.3 Properties of Functions

  2. Even Functions Even function: if i.e. symmetric about the y-axis:

  3. Odd Functions Odd function: if i.e. symmetric about the origin: f(−x) = −f(x)

  4. Even or Odd Functions Determine if the graphs below are even, odd or neither.

  5. Increasing/Decreasing Functions Increasing: If a positive change in x results in a positive change in f(x). Decreasing: If a positive change in x results in a negative change in f(x). Constant: If a positive change in x results in a zero change in f(x).

  6. Minimums (where vs. value) Local Minimum: a local low point on the graph of a function Absolute Minimum: the absolute lowest point on the graph of a function Find Using Min/Max Options On Graphing Calculator

  7. Maximums (where vs. value) Local Maximum: a local high point on the graph of a function Absolute Maximum: the absolute highest point on the graph of a function Find Using Min/Max Options On Graphing Calculator

  8. Asymptotes Vertical asymptotes: Unique zero of the denominator of a function. Horizontal Asymptote “End Behavior” (limit notation)

  9. 2.3 IP Assignment Pg. 89: #s 12-32 evens, 46-52 evens

More Related