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Odd Functions - College Algebra

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

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

English subtitles

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