najaegolding najaegolding
  • 06-04-2020
  • Mathematics
contestada

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

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altavistard
altavistard altavistard
  • 06-04-2020

Answer:

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

Step-by-step 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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