Question

describe the end behavior of the function y=2x^7-8x

Answer 1

This is a 7th order polynomial, and thus is odd. Its end behavior is comparable to that of the simplest odd function, f(x) = x, in that, as one moves from left to right, the graph starts in Quadrant 3 and ends in Quadrant 1.

Perhaps you have a better description of end behavior?

Answer 2

Do you remember what the graph of y=x^3 looks like?
Just curious.

Answer 3

x^3, x^5, etc., are all polynomials of odd order and thus have similar end behavior.

Answer 4

thank you

Answer 5

A plot is attached.