1.It is increasing on the intervals [-2,0]u [2,0], and decreasing on (-∞,2]u[2,∞) you can tell because it is positive on a f'(x) graph and when it is decreasing it is negative on the f'(x) graph.
2The local minimum at -2 because its before the output changes from negative to positive.The local minimum would be at 2 because that's before the output turns from positive to negative.
3.It is concave up at (-∞,-1.25) and (0,1.25). It is concave down at (-1.25,0) and (1.25,∞). You can tell from this graph that is concave down when f'(x) is decreasing and concave up when f'(x) is increasing.
4.its x^5 because slope changes 4 times, since its the derivative of f(x) which would be x^4 which is -1 less than x^5 when u take the derivative of it, then it mus be x^5.