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.
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1. ooh. be careful. this COULD be a velocity graph, but its more general, calling it f'(x). Otherwise, good.
ReplyDelete2. sorry, my fault. I was asking for the extrema of f(x), not of this graph, f'(x).
3. nope you don't. the concavity is shown by the second derivative, which is the SLOPE of the FIRST DERIVATIVE, f'(x).
4. good.