SOLUTION: Quadratic equation parabola.. if y=-2x^6-32x^3-118, does y have a maximum or a minimum value? What is the value? What is the corresponding value of x?

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Question 982199: Quadratic equation parabola..
if y=-2x^6-32x^3-118, does y have a maximum or a minimum value? What is the value? What is the corresponding value of x?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Does y have a maximum or a minimum value?

y=ax%5E2 is a parabola, concave upward if a%3E0, and concave downward if a%3C0.

Your equation IS NOT a parabola.
Be aware, your equation may have more than two local extreme values.

One would guess you want to use Rational Roots Theorem to look for those roots. (Maybe use of substitution for x^3, because your equation is in "quadratic form", but it is not a parabola.)