Consider the function $f(x)=-2x^2+2x-8.f(x)$ is increasing on the interval $(-,A]$ and decreasing on the interval $[A,)$ where $A$ is the critical number.

Find $A$

At $x=A,$ does $f(x)$ have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER.

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