Determine whether the statement is true or false. if it is true, explain why it is true. if it is false, give an example to show why it is false. (assume the f is continuous on [a, b].) if f ''(x) < 0 on (a, b) and f '(c) = 0 where a < c < b, then f(c) is the absolute maximum value of f on [a, b].