3. a) Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local maximum or local minimum points, and intervals of concavity, to describe the graph of g(x). b) Explain why there is more than one possible graph for g(x). y=g' 0g 106. The graph of the derivative function f'(x) of a function f(x) is shown below. a) Determine: i. the intervals where f(x) is increasing; ii. the intervals where f(x) is decreasing; iii. the x -coordinate for all local extrema of f(x); iv. the x -coordinate for the point of inflection; v. the intervals of concavity. b) If f(0) = 1, sketch a graph of f(x). yf '0g +