Return to Video

Odd Functions - College Algebra

  • 0:00 - 0:06
    If we try to fold any of the curves on this graph across the y-axis,
  • 0:06 - 0:10
    none of them are going to map over to themselves.
    So, they must not have symmetry across the y-axis.
  • 0:10 - 0:15
    The same is true of the x-axis when we try it there.
  • 0:15 - 0:19
    Folding them in half along this line is not going to make points up here match points down here,
  • 0:19 - 0:23
    because they're on opposite sides of the y-axis.
  • 0:23 - 0:28
    So, it looks like neither of these 2 symmetries applies in the case of odd functions.
  • 0:28 - 0:33
    However, let's look at these last 2 choices.
    Maybe one of them works.
  • 0:33 - 0:37
    We know that this is a property of even functions, that points equidistant from the y-axis have the same y value.
  • 0:37 - 0:42
    But it doesn't look like this is true of odd functions.
  • 0:42 - 0:47
    If I pick some x coordinate like 5,
    and I find the given y coordinate,
  • 0:47 - 0:52
    then finding the opposite x coordinate,
    negative 5 does not give me the same y coordinate.
  • 0:52 - 0:56
    It's all the way down here, instead of up here.
    However, these y coordinates are related.
  • 0:56 - 1:01
    This one is the negative version of this one.
    So that means this last rule is true.
タイトル:
Odd Functions - College Algebra
概説:

Finding the rule for odd functions.

more » « less
Video Language:
English
Team:
Udacity
プロジェクト:
MA008 - College Algebra
Duration:
01:03

English subtitles

改訂 Compare revisions