f(x) vs f ' (x)

1. From the Interval (-2,0)U(0,2), f(x) is increasing, f ' (x) is the slope of f(x), and the in that interval, the points are positive, positive slope = increasing
From (-infinity, -2) U (2, infinity), f(x) is decreasing, because the slope is negative, points on f ' (x) graph are negative in that interval

2.At x= -2, f ' (x) changes from negative to positive, making it a local minimum.
at x = 2, f ' (x) changes from positive to negative, making it a local maximum

3. In the interval (-infinity, -1.5) U (0,1.5) , the slope of the f ' (x) graph is positive, f ''(x) > 0 is concave up
in the interval (-1.5 , 0) U (1.5 , infinity), the slope of f '(x) is decreasing, f ''(x) < 0 is concave down