# 58. Distance Function The graph gives a sales representative's distance from his home as a function of time on a certain day. (a) Determine the time intervals on which his distance from home was increasing and those on which it was decreasing. (b) Describe in words what the graph indicates about his travels on this day. (c) Find the net change in his distance from home between noon and 1:00 P.M. Distance from home (miles) 8 A.M. 10 2 4. 6 PM. NOON Time (hours)

Question

Changing Water Levels The graph shows the depth of water
W in a reservoir over a one-year period as a function of the
number of days x since the beginning of the year.
(a) Determine the intervals on which the function W is
increasing and on which it is decreasing.
(b) At what value of x does W achieve a local maximum?
A local minimum?
(c) Find the net change in the depth W from 100 days to
300 days.

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58. Distance Function The graph gives a sales representative's distance from his home as a function of time on a certain day. (a) Determine the time intervals on which his distance from home was increasing and those on which it was decreasing. (b) Describe in words what the graph indicates about his travels on this day. (c) Find the net change in his distance from home between noon and 1:00 P.M. Distance from home (miles) 8 A.M. 10 2 4. 6 PM. NOON Time (hours)