$3.$ The graph of function $\backslash ($ F $\backslash )$ shows the approximate weekly revenues $\backslash ($ y $\backslash )$ of your company from last year. The graph of function $\backslash ($ P $\backslash )$ shows your company's projected weekly revenues $\backslash ($ y $\backslash )$ for this year, In each graph, $\backslash ($ x $\backslash )$ represents the week, with $\backslash ($ x$=0\backslash )$ corresponding to the first full week in October. a$.$ Seasonal weather forecasts were used to create $\backslash ($ P $\backslash ).$ What can you conclude about these forecasts? Use the concepts of transformations of graphs to write $\backslash ($ P $\backslash )$ in terms of $\backslash ($ F $\backslash ).$ b$.$ Determine the open intervals on which the function $\backslash ($ P $\backslash )$ is increasing, decreasing, or constant. c$.$ Find the midpoint of the segment on which the graph of $\backslash ($ P $\backslash )$ decreases. Interpret the coordinates of this point. $4.$ Your company purchases a truck for $\backslash (\backslash$$ $60,000\backslash )$ that is worth $\backslash (\backslash$$ $22,800\backslash )$ after $6$ years. Find the average rate of change. Then write a linear function $\backslash ($ f$($x$)\backslash )$ for the value $\backslash ($ f $\backslash )$ of the truck after $\backslash ($ x $\backslash )$ years. Find the inverse function $\backslash ($ f$^\{-1\}($x$)\backslash )$ of $\backslash ($ f $\backslash ).$ Then find and interpret $\backslash ($ f$^\{-1\}(35,200)\backslash ).$