Question 3. (4 points for each part (a)-(c), graded for correctness.) Determine whether the statements are (always) true or (at least sometimes) false. Circle your choice and provide a mathematical argument (in complete sentences) to explain your choice. That is, either provide valid reasons why the statement is true, or give a counterexample which shows why the statement false. (a) TRUE FALSE If f(x) is differentiable and increasing on (-co, co), then lim /(:) = 0. (b)| TRUE | FALSE If f(x) is twice-differentiable on (-co, co) and has an inflection point at a = c, then the function g(2) - (f(F))? also has an inflection point at r = c. Page 1/12(c) TRUE FALSE Suppose that f(x] is one-to-one, twice-differentiable, and concave up on its domain. Then the inverse function f '(x) must be concave down on its domain. 1age 5/12