(1) Let -2x - 1 x

(1) Let f@) (a) Graph f (c). + 28 4 4 2 (b) State all points where f@) is discontinuous and why. (c) For which of the points found in part (a), is the function right con- tinuous. Why or why not? (d) For which of the points in part (a), is the function left continuous. Why or why not? using the definition of the derivative, find f'(x). (2) Let f (x) You must show all of your work to get full credit. (3) A particle moves on a vertical line so that its coordinate at time t is (a) Find the velocity function. (b) Find the acceleration function. (c) What is thc velocity aftcr Is? (d) When is the particle moving upward and when is it moving down- ward? (e) When is the particle at rest? (f) Draw a diagram to illustrate the motion of the particle. (g) Find the distance that the particle travels in the time interval 0 < (h) When is the particle speeding up? When is it slowing down? (4) Let 2c2 + + y3 8 (a) Find y/ (b) Find the equation of the tangent line to the curve at the point (O, -2).