1. The problem statement, all variables and given/known data https://scontent-b-mia.xx.fbcdn.net/hphotos-prn2/v/1388504_10201044108366607_730785214_n.jpg?oh=9e67700cd15429886ee87ce2eed63328&oe=528397C9 2. Relevant equations F(x) = ∫f(x). We can apply the second derivative test. F''(x) = f'(x) 3. The attempt at a solution F''(x) is negative at x = -2 since the slope of f(x) is negative at x = -2. f'(x) doesn't exist at the corner at x = 0. f'(x) is negative at x = 3. Therefore there are two local maxes (x = -2 and x = 3) determined through the second derivative test. We can apply the first derivative test at the point x = 0. F'(x) = f(x). f(x) however fails to change signs across x = 0; it remains negative across x = 0, so x = 0 cannot be an extrema of any kind.