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Which is which - College Algebra

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    This first graph over here, this green one, is the graph of y equals x to the
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    5th. And this purple one is y equals x to the 6th. Notice that this does, in
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    fact, continue that pattern that we had started to pick up on over here. Just
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    like x squared and x to the 4th, x to the 6this shaped sort of like a U.
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    Although it's even steeper or skinnier, than the x to the 4th function. And it's
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    base looks to be a bit wider. So, as you move away from 0, the graph isn't
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    initially increasing very quickly. And then it shoots up really fast as soon as
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    we move past 1. Think about why this is y. You might want to make a T chart with
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    values at the input for the function smaller than 1, and see how the value of y
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    increases as x increases. Now, just like y equals x to the 3rd, y equals x to
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    the 5th has one tail, or one end of the graph pointing to negative infinity, and
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    the other pointing to positive infinity. Then we can see that y equals x to the
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    5th is, once again, a skinnier graph than y equals x to the 3rd. But it still
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    has pretty much the same shape. This is really interesting.
Which is which - College Algebra
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MA008 - College Algebra
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