1. the piecewise-defined function in the
graph shows three stages of a rocket's
flight starting at liftoff. the y-axis
represents the distance travelled from the
ground in miles and the x-axis represents
the time in minutes from liftoff. the
intervals are described as follows:
• first stage: 0 min to 2 min
• second stage: 2 min to 3 min
02
• third stage: 3 min to 4 min
time (min)
part a
what is the average rate of change over each interval? how would you interpret
the rate of change in the context of the trip?
distance (mi)
part b
what is a function that represents the distance fat time x for the first interval of
the trip?
part c
the approximate distances and times of a
model used by engineers to show a flight
pattern are represented by the piecewise
defined function below, where frepresents
the altitude of the model in meters and x
represents the time in seconds. graph the
function.
(3x, if 0 sx< 2
f(x) = 5x - 4, if 2 sx< 4
ditt
16, if 4 sx < 10
4 6 8 10
time (s)
(a) apa