Question

2. (16 pts) EXPLANATION IS NOT REQUIRED! The graph of a function g' (t), the derivative of g is given below. Assume that the function gis continuous on its domain (-2, 4). y =gt) y = g' (t) -2 o (I) Find all critical points of g. (II) on what interval (or intervals) is the function g increasing? 2. (CONTINUED) (III) At what point (or points) does the function g have a LOCAL MAXIMUM ? (IV) on what interval (or intervals) is the function g CONCAVE UP ? (V) Find all inflection points of g.