Let y = f(x) = 2x2 + 4. a) Sketch the graph of f as accurately as possible. b) Draw the tangent line at (3, 22). c) Estimate the slope of this tangent line. d) Calculate the slope of the secant line passing through the points (3, 22) and (3.1, f(3.1)). Draw this secant line on your graph. e) For a small, positive number h, find a formula that gives the slope of the secant line passing through (3, 22) and (3 + h, f(3 + h)). Draw a typical secant line on your graph for an arbitrary h as above