## Odd Functions - College Algebra

• 0:00 - 0:05
If we try to fold any of the curves on
this graph across the y-axis,
• 0:05 - 0:08
none of them are going to
map over to themselves.
• 0:08 - 0:11
So, they must not have symmetry
across the y-axis.
• 0:11 - 0:14
The same is true of the x-axis
when we try it there.
• 0:14 - 0:19
Folding them in half along this line
is not going to make points up here,
• 0:19 - 0:23
match points down here, because they're on
opposite sides of the y-axis.
• 0:23 - 0:25
So, it looks like neither of these two
symmetries applies
• 0:25 - 0:27
in the case of odd functions.
• 0:27 - 0:31
However, let's look at these last two
choices, maybe one of them works.
• 0:31 - 0:35
We know that this is a property of even
functions, that points equidistant
• 0:35 - 0:38
from the y-axis have the same y value,
• 0:38 - 0:41
but it doesn't look like this is true
of odd functions.
• 0:41 - 0:46
If I pick some x coordinate like 5,
and I find the given y coordinate,
• 0:46 - 0:49
then finding the opposite
x coordinate, negative 5
• 0:49 - 0:51
does not give me the same y coordinate.
• 0:51 - 0:54
It's all the way down here,
• 0:54 - 0:56
However, these y coordinates are related.
• 0:56 - 1:00
This one is the negative version
of this one.
• 1:00 - 1:02
So that means this last rule is true.
タイトル：
Odd Functions - College Algebra

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Video Language:
English
Team:
Udacity
プロジェクト：
MA008 - College Algebra
Duration:
01:03
 Hajnalka Geib edited 英語(米国) subtitles for Odd Functions - College Algebra Udacity Robot edited 英語(米国) subtitles for Odd Functions - College Algebra Leticia Sola edited 英語(米国) subtitles for Odd Functions - College Algebra Cogi-Admin added a translation

# English subtitles

## 改訂 Compare revisions

• Edited
Hajnalka Geib
• API
Udacity Robot
• Edited (legacy editor)
Leticia Sola