2. In general, does the speedometer of a car measure average or instant rate of change. Describe a scenario in which the average speed and instant speed would be the same. 3. Sketch the curve y : (1/2(X 3))2 + 4 ) Calculate the average slope (secant) from CI to 3 seconds ) Draw a tangent at x = 7. Calculate the slope at this point ) Describe what happens to the rate of change from 0 to 3 seconds ) Describe what happens to the rate of change from 0 to 6 seconds ) Describe when rate of change is zero 4. The diagram below describes the height of a ball thrown into the air according to the formula h(t) = - 3(t-2.5)2 + 25. Determine: Figure I: Height\". Time a) the minimum height ball reaches 30 _ b) the initial height from which ball was thrown c) describe interval when ball's height decreases n :3 d) the average rate at which the ball's height 5 changes from; i) O to ls Ea '5 ii] 0 to 4s i '0 5 e) the instantaneous rare at which the ball's 0 height changes at: i) 4s 0 l 2 3 4 5 6 7 3 ii) 2.5s 13m- is) \f4. Identify when: each of the following graphs 5. Examine thc graph. is discontinuous, usmg limits to support your answer. State whether the discontinuity is a pump, infinite, or removable discontinuity. 3} a] Status the domain of the fu ncnon. II} Evaluate each of the following for the graph. 1 ll Inn x xo-l'x+] 1 ii} lim 1 1-9-1 x+1 2 _ . .'I: "" 193, x + I NIHl} (} Is the graph continuous or discontinuous? Justify your answer. 11. Evaluate each limit, if it exists. (2 + x)2 - 16 a) lim x-+2 x- 2 c) lim 49 - (5+ x)2 X-+2 x - 2 lim X - 16 x- 2 x+2 12. Evaluate each limit, if it exists. X-4 I-x-1 () lim d) lim 3x 3- x x+3 e) lim r-+0 X 13. Evaluate each limit, if it exists. -2x d) lim x-40x- 4x 2x2 - 5x - 3 f) lim x43 X2- x-6