Problem 1: Single Variable Optimization Consider the following function: f(:c) : 23:2 m3+1 where 5 E l, i \"T i 3l (a) Find the as that are critical value points of f (ac) (values of a: that are a potential mini- mum or maximum). (b) Are those critical values maximum or minimum? (Hint: Check the second order derivative. Check also the value of the function at the endpoints -1 and g to make sure you have the correct answer.)