Question: Let fbe the piecewise-defined function 3 if x52 f(x) =3-2x+7 if 2 5 1. Sketch the graph of y = f (x) on [0, 8].

Let fbe the piecewise-defined function 3 if x52 f(x) =3-2x+7 if

Let fbe the piecewise-defined function 3 if x52 f(x) =3-2x+7 if 25 1. Sketch the graph of y = f (x) on [0, 8]. 2. Evaluate each definite integral. a. If (x) dx b. If (x) dx c. Sof ( x ) dx 3. a. Find the average value of fon [0, 8]. b. Interpret your answer to (3.a) (preferably geometrically, but other interpretations are fine)

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