{1 point} Sometimes functions can be more complicated. Given below is the graph of a function f. :1) Use the graph to identify the sets on which this function is increasing or decreasing and concave up or concave down. {Your sets should be contained inside the set (4, 8). Do not include points outside of this set.) Note: For some of the intervals, you may need to estimate the endpoints. Increasing: EEE Decreasing: EEE Concave up: I 5!! Concave down: :2: {1 point) Driving along the interstate, Lawrence passes a stationary patrol car. Shortly after passing the patrol car, he sees it in his rearview mirror and immediater applies the breaks. The graph below shows the distance Lawrence is trom the patrol car (in feet) as a function of time t (in seconds), which we will denote as t). 1 . (Click on graph to enlarge) :1) Based on the graph, when did Lawrence see the patrol car? EEE seconds. b) What was Lawrence's average velocity before seeing the patrol car? 5!! miles per hour What was the his average velocity after? 5!! miles per hour c) Eventually, Lawrence gets pulled over by the patrol car. Assume that the maximum speed limit on the interstate is 75 mph. Does Lawrence get a ticket for speeding? 3 A. Lawrence is within the speed limit for the entire 8 seconds, so he does not get a ticket. :0) B. At one point Lawrence is traveling about 100 miles per hour, so he gets a ticket for speeding. :3 c. There is not enough information to determine if Lawrence gets a ticket. :1) Select the graph below which best represents the second derivative of f(t). :3 A. Graph 3 3 B. Graph 4 :0) C. Graph 1 :3 D. Graph 2 (Click on a graph to enlarge it.) 3) Select all statements which are a correct interpretation of f"(t) in the context of the problem. 3 A. Lawrence was slowing down tor the entire 8 second interval. 3 3. Lawrence was decelerating for the entire 8 second interval. C. Lawrence was accelerating until he saw the trooper, and then decelerated until 1% : 8. 3 D. Lawrence was accelerating for the entire 8 second interval. 3 E. Lawrence was speeding up until he saw the trooper, and then slowed down until it : 8. 3 F. Lawrence was speeding up for the entire 8 second interval