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