1.Calculate the slope m of the line passing through the points (-4, 6) and (4, 1.8). For the function illustrated in this graph,
does there exist a number c in the interval I = (-4, 4) such that f'(c) is the slope m of the secant line passing through the points (-4, 6) and (4, 1.8)? Is your answer consistent with the statement of the Mean Value Theorem?
2. Determine the intervals on which the function is increasing and intervals on which the function is decreasing. Check your answers by graphing (grapher) the corresponding functions. Include copies of these graphs.
f(x) = (x - 1)3 - 2.