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15. [-/2 Points] DETAILS SPRECALC6 2.3.047.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 th beginning of the year. (Assume 365 days in a year.) W (ft) A 100 75 50 25 0 100 200 300 x (days) (a) Determine the intervals on which the function W is increasing and on which it is decreasing. The function W is increasing on [150, 300] and decreasing on [0, 150] and [300, 365]. The function W is increasing on [100, 200] and [300, 365] and decreasing on [0, 100] and [200, 300]. The function W is increasing on [50, 80] and [25, 75] and decreasing on [80, 25]. The function W is increasing on [0, 150] and [300, 365] and decreasing on [150, 300]. (b) At what value of x does W achieve a local maximum and a local minimum? O W has a local maximum at x = 300 and a local minimum at x = 150. W has a local maximum at x = 75 and a local minimum at x = 200. O W has a local maximum at x = 365 and a local minimum at x = 0. O W has a local maximum at x = 150 and a local minimum at x = 300. Need Help? Watch It Master It