Consider the graph of shown below.


(Click on the graph for a larger version.)

If the areas A, B and C are all defined to be the areas between the graph of and the -axis and are, respectively, 5, 19 and 41, carefully sketch the graph of an antiderivative of satisfying . Label each critical point of with its coordinates.

Then enter the critical points below, as a list of ordered pairs (that is, if you found critical points at , and , , you would enter (2,3), (3,4)).
critical points =