2. (U: 20pts, G: 15pts) Plot the function f (x) = 23 - 5x2 + 2 using software of your choice and include the figure. Use the nec- essary and sufficient conditions for local optimality to find any local minimums or maximums of this function and to prove that they are a local min or max. (Note: must use the conditions to find these, not just your plot, though your plot is a good way to check your answer)