Consider the function f(x) = x^3 / x − 2
1. Give the intervals of increase and the intervals of decreasefor f(x).
2. Give the location of any local maximums and local minimums onthe graph of y = f(x). Give your answer(s) as a point, listing boththe x-coordinates and y-coordinates.
3. List the intervals of concavity for f(x).
4. Identify any inflection points on the graph of y = f(x). Giveyour answer(s) as a point, listing both the x-coordinates andy-coordinates.
5. Sketch the graph of y = f(x) on the axes below. Be sure yourgraph reflects all of the information above.
