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The end behavior of a polynomial is decide by the end behavior of the leading term of the polynomial.
Not just the coefficient but the leading term which is -2x^4. The exponent is an even term and the end behavior will be similar to x^2 Here the coefficient is negative and so the the end behavior will be similar to -x^2
There are two ends: left and right. You will have to say what happens to each end.
x^2 looks like like a U -x^2 looks like an inverted U. So left end will be down and the right end will be down. Answer: Both ends down.
Isn't that what a U and inverted U will look like?
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upside down U
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