Science:Math Exam Resources/Courses/MATH110/April 2013/Question 02 (c)/Solution 1

Your drawing should have a function that changes concavity at x = 1. Critical points are where we find a minimum, maximum, or a "corner" where the derivative does not exist. Your graph should have one of these features at x = 2.

In our example below the function switches from concave up to concave down at x = 1 and has a maximum at x = 2.