2. (20 points) Consider the function f(x) = p' - 61 + 54r. A) (5 points) Find the critical values of f (hint: they are all rational). b) (3 points) For each critical point, say whether it is a maximum, a minimum or an inflexion point. c) (2 points) Are these extrema ( minimum or maximum) local or global? d) (5 points) Identify all inflexion points (points where the 2nd derivative changes sign). e) (5 points) Represent the function, showing the stationary points