## Which is Which - College Algebra

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So, we still have x squared and x cubed functions graphed over here on this
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coordinate plane. And here, I have y equals x to the 4th graphed as well. I'd
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like you to take a second and compare the overall behavior of x to the 4th to x
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squared. I know that all three of these graphs actually go through the origin.
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Which makes sense, because zero taken to any power is just equal to zero. So we
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plug in zero for x, and any of them, the y value is going to be zero as well.
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However, both of the graphs that have even powers have that property that I
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talked about in the previous answer video. Either end of the graph is going to
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point in the same direction. Either going to have a sort of U-shape overall or
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sort of upside down U-shape. The U for x to the 4th just happens to be a bit
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steeper than it does for x squared. So, let's see if this pattern continues as
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we move even higher in degree with our polynomial functions. Yet again, I've
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added more graphs. One of these is the graph of y equals x to the 5th, and one
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of them is the graph of y equals x to the 6th. So, thinking about the patterns
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that you noticed over here with our first three graphs that you're considering,
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what do you think the overall behavior of this 5th degree function will look
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like versus the 6th degree function?
タイトル：
Which is Which - College Algebra
Video Language:
English
Team:
Udacity
プロジェクト：
MA008 - College Algebra
Duration:
01:10
 Udacity Robot edited 英語(米国) subtitles for Which is Which - College Algebra Cogi-Admin added a translation

# English subtitles

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