f(x) on f'(x)

1. The function increases at [-2,0]u[0,2] since f'(x) is a velocity graph and that is when it is above the x axis. It is decreasing at (-∞,2]u[2,∞) since that is when it is below the x axis.

2. Local minimum at x=0 and Local maximum at x=+-1.25

3. You need the graph of f(x).

4. The graph changes its slope 4 times, so by getting the derivative of the function, it makes the power function 5.