1 / 3

Define Even and Odd functions algebraically and graphically

Define Even and Odd functions algebraically and graphically. Continue …. Example 1. Check whether the following graphs represent an even or odd functions or neither. a). c). The graph represents an even function. The graph represents neither. b). d). The graph represents neither.

bairn
Télécharger la présentation

Define Even and Odd functions algebraically and graphically

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. Define Even and Odd functions algebraically and graphically

  2. Continue… Example 1 Check whether the following graphs represent an even or odd functions or neither. a) c) The graph represents an even function The graph represents neither b) d) The graph represents neither The graph represents an odd function

  3. Even and Odd Functions Example 1 Determine whether a function is even, odd or neither. a) f ( x ) = 3x4 + 5x2 –4 b) f( x ) = -2x5 +4x3 +7x c) f( x ) = x5 +x2 Substitute x by –x f(-x) = -2 (-x)5 + 4( -x )3 +7(-x) = 2x5 – 4x3 – 7x = - (-2x5 +4x3 +7x ) = - f(x) f(-x) = - f(x) f is odd Solution: Substitute x by –x f(-x) = ( -x )5 + ( -x )2 = - x5 + x2 f(-x) is not equal to f( x) nor –f(x). Therefore, f is neither. • Substitute x by –x • f( -x) = 3( -x )4 + 5 ( -x )2 - 4 • = 3x4 + 5x2 – 4 • = f(x) • f( -x) = f(x) • f is even.

More Related