1. Given the points A(-5,4) and B(4,22), find the average rate of change from point A to point B. 2. Consider the function f (x) = x2 + x + 3 a. Find from first principles f' (x) b. Hence, find the value of f' (-3) 3. Find the derivative function of the following: a. f(x) = 2x3 - 3x4+8 b. f (x) - 5x2-9x 23 4. Consider the function shown in the graph, where f (x) = =x3 + 2x2 -6 a. Draw a sign diagram for f'(x) b. Determine the turning points algebraically