Question

1. (16 pts) Let f be the function with domain [0, 6] given by the graph below. y=f(x) 3 4 5 6 Use the graph off to answer the following questions about f. (a) List the critical point(s) of f on the interval (0,6). Write "none" if appropriate. (b) List the inflection point(s) of f on the interval (0,6). Write "none" if appropriate. Use the graph off to answer the following questions about the derivative f' of f. (c) List the intervals(s) on which f' is negative. Write "none" if appropriate. (d) List the intervals(s) on which f' is decreasing. Write "none" if appropriate. (e) List the x-coordinates(s) at which f' has a local minimum. Write "none" if appropriate.