The function f, where f(t) = 2t + 2t +3, gives the altitude of the plane in thousands of feet above sea level t minutes after take-off. a. What is the plane's altitude 1 minutes after take-off? 7 Preview thousand feet above sea level. b. What is the plane's altitude 4 minutes after take-off? 43 Preview thousand feet above sea level. c. The expression f(4)-f(1) represents O the constant rate of change of the plane's altitude per minute from 1 minutes to 4 minutes after take-off O the average rate of change of altutide per minute from 1 minutes to 4 minutes after take off O the change in time from 1 minutes to 4 minutes after take-off the change in the planes altitude from 1 minutes to 4 minutes after take-off d. The expression f(4)-f(1) 4-1 represents Othe change in time from 1 minutes to 4 minutes after take-off Othe change in the plane's altitude from 1 minutes to 4 minutes after take-off the average rate of change of altitude per minute from 1 minutes to 4 minutes after take-off O the constant rate of change of the plane's altitude per minute from 1 minutes to 4 minutes after take-off e. What is the average rate of change of the plane between 1 and 4 minutes after take-off? Preview thousands of feet per minute v The plane's altitude increased by 36 thousand feet in 3 minutes. f. Graph the segment that represents an average rate over the interval [1, 4] (i.e. the constant rate of change the plane would need to fly over e. What is the average rate of change of the plane between 1 and 4 minutes after take-off? 1(4)-f(1) Preview thousands of feet per minute The plane's altitude increased by 36 thousand feet in 3 f. Graph the segment that represents an average rate over the interval [1, 4] (i.e. the constant rate of change the plane would need to fly over [1, 4) to produce the same change in altitude.) 700 90- 80 -70 60 -50- 40- 30- 20 10- y Clear All Draw: / # minutes.