Graph the function. What symmetries, if any, does the graph have? Specify the open intervals over which the function is increasing and the open intervals where it is decreasing. y=4x3 Choose the correct graph beiow. OA. What symmetries, if any, does the graph have? [:3 A. The graph is symmetric about the origin. [:3 B. The graph has no symmetry. (:2 C. The graph is symmetric about the y-axis. Specify the open intervals over which the function is increasing and the open intervals where it is decreasing. Select the correct choice below and fill in the answer box(es) within your choice. (Type your answer in interval notation.) [:3 A. The function is increasing on and is never decreasing. [:3 B. The function is increasing on and is decreasing on [:3 c. The function is decreasing on and is never increasing. The accompanying graph shows the total distance 3 traveled by a bicyclist after t hours. Distance traveled (mi) O 1 2 3 4 Elapsed time (hr) Using the graph, answer parts (a) through (c). (a) Which ofthe following is the bicyclist's average speed, in mph, over the time interval [0, 1]? Q A. 64 mph 0 B. 14 mph 0 C. 14 mph 0 D. 64 mph Which of the following is the bicyclist's average speed, in mph, over the time interval [1, 2.5]? Q A. 26 mph 0 B. 1.3 mph DC. 26 mph 0 D. 1.3 mph Which of the following is the bicyclist's average speed, in mph, over the time interval [2.5, 3.5]? Q A. 60 mph C) C. 10 mph 0 B. 60 mph 0 D. 10 mph (b) Which of the following is the bicyclist's instantaneous speed, in mph, at t = 01 - hr? O A. 65 mph O B. - 65 mph O C. 14.7 mph O D. - 14.7 mph Which of the following is the bicyclist's instantaneous speed, in mph, at t = 2 hrs? O A. - 1 mph O B. 0mph O C. 2 mph O D. 1 mphWhich of the following is the bicyclist's instantaneous speed, in mph, at t= 3 hrs? [:3 A. - 20 mph [:3 B. 30 mph [:3 C. - 30 mph [:3 D. 5 mph (c) Which of the following choices gives the maximum speed, in mph, and the time at which it occurs? [:3 A. The maximum speed of the bicyclist is 45 mph and it occurs whent='l hr. ("'3 B. The maximum speed of the bicyclist is 45 mph and it occurs when t = 3.5 hrs. L: C. The maximum speed of the bicyclist is 20 mph and it occurs whent=l hr. ("'3 D. The maximum speed of the bicyclist is 20 mph and it occurs when t = 3.5 hrs