Why is there is no global max

Problem 5: (10 points) The graph of y = f(x) is shown below (the function is defined on the whole R). Label on the graph (A, B, C. etc. ) the points where f has its (a) critical points (if any): A B CE (b) local maxima (if any): C (c) local minima (if any): A E (d) global maximum (if any): none (e) global minimum (if any): A ABC D E (f) inflection points ( if any): B D