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- Thread starter Painguy
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NascentOxygen

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The number of times the graph of a polynomial can [potentially] cross the x-axis is equal to its degree. So something of degree 4, for example, may cross the x-axis up to 4 times. You already know that a straight line cuts just once, and a circle or parabola crosses up to two times.

As for finding local max and min without calculus, hmmm ....

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Haha I see :tongue: Never mind then. I suppose i can wait until i know more. Thx for the other explanation though.

The number of times the graph of a polynomial can [potentially] cross the x-axis is equal to its degree. So something of degree 4, for example, may cross the x-axis up to 4 times. You already know that a straight line cuts just once, and a circle or parabola crosses up to two times.

As for finding local max and min without calculus, hmmm ....

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verty

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Normally a function of nth degree has at most n-1 turns.

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