The function g is given by g(x) = f(t) dt. -4 -2 Graph of f j) Find the average rate of change off on the interval -6 < x < 2. Does the Mean Value Theorem guarantee that f'(c) will equal the average rate of change? Explain. k) The function p is defined by p(x) = f(x - 3x). Find the slope of the line tangent to the graph of p at the point where x = 4. I 1) The function r is defined by r(x) = g(x) = Find r'(2). 3x