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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?
Which is Which - College Algebra
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MA008 - College Algebra
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