Non-Calculator Lab S-2 1. The graph of the function f, consisting of three line segments and a quarter of a circle, is shown above. Let g be the function defined by g(x) = 2x + Sf(t)dt a. Find the average rate of change of g from x =- 5 to x = 5. (3 pts) b. Find the instantaneous rate of change of g with respect to x at time x = 3 or state that it does not exist. (2 pts) c. On what open intervals, if any, is the graph of g concave up? Justify your answer. (3 pts) d. Find all x-values in the interval - 5