Use the sketch of f below along with the fact that g(x) = f(t) dt to answer the questions which follow. (Hint: BEFORE parts c through e, you will need to differentiate both sides) 2-19 (1.4) (2.1) (4.-1) g(x) =art of fQ) 2x P(x)=x 107 (a) Find g(4) (b) Find g(-2) (c) Find the absolute maximum value of g(x) on the interval [-2, 4]. (d) Find the intervals on which g(x) is concave down. (e) Find all values of x at which g(x) has a point of inflection.