Consider the function $\displaystyle {f{{\left({x}\right)}}}=-{2}{x}^{{2}}+{10}{x}-{5}$. $\displaystyle {f{{\left({x}\right)}}}$ is increasing on the interval $\displaystyle {\left(-\infty,{A}\right]}$ and decreasing on the interval $\displaystyle {\left[{A},\infty\right)}$ where $\displaystyle {A}$ is the critical number.
Find $\displaystyle {A}$ Preview Question 6 Part 1 of 2  


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