The figure shows the graph of a function 
. The zero and extrema for are labeled, and the point of inflection of the graph of is labeled. Let 
, 
, 
, 
, and 
represent the 
-coordinates at those points.
Of the following, on which interval is decreasing and the graph of concave up?
the interval from to
the interval from to
the interval from to
the interval from to
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A water tank is being filled using a hose. The rate at which the volume of water in the tank increases is constant when the hose is running. During the first three hours, the hose runs at a reduced flow rate due to low water pressure. The hose is then turned off while a valve is adjusted. After the adjustment, the hose runs at its full flow rate until the tank is completely full. The entire process of filling the tank takes eight hours. Which of the following graphs could depict this situation, where time, 
in hours, is the independent variable, and the volume of water in the tank, 
in gallons, is the dependent variable?
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