The function f(x) = x -x2 - x- is graphed in 11 %3D 4 the xy-plane above. If k is a constant such that the equation f(x) =k has three real solutions, which of the following could be the value of k ?

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.