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Describe the end behavior of the function f (x) = 2x^5-8x^2+15x-10

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Answer:

End behavior is very similar to that of y = x^3.

Explanation:

All you need to say here is that this polynomial is of odd order (degree): x^5. That means that the end behavior is very much similar to the end behavior of the basic function y = x^3:

With increasing x, the graph starts in the lower left corner of Quadrant III and continues through the upper right corner of Quadrant I. Look up the graph of y = x^3 and verify that this is so.

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User Simon Whitehead
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