what is the difference between the maximum value of y=-x^4-2x^3+5 and the minimum value of y = x^4+x^2-4

This doesn’t seem like an SAT question—maybe Subject Test? Anyway, use your graphing calculator to find the maximum of the first function (it’s 107/16) and the minimum of the second function (it’s –4). Now subtract!

    \begin{align*}&\dfrac{107}{16}-\left(-4\right)\\=&\dfrac{107}{16}+\dfrac{64}{16}\\=&\dfrac{171}{16}\end{align*}

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