Question: Let f be the function defined f(x) = = 9 -x+ 3 cos - TCX 2 for 3 x 0 for 0 < x

Let f be the function defined f(x) = = 9 -x+ 3 cos - TCX 2 for 3 x 0 for 0 < x 4 (a) Find the average rate of change of f on the

Let f be the function defined f(x) = = 9 -x+ 3 cos - TCX 2 for 3 x 0 for 0 < x 4 (a) Find the average rate of change of f on the interval 3 x 4. (b) Write an equation for the line tangent to the graph off at x = 3. (c) Find the average value of f on the interval -3 x 4. (d) Must there be a value of x at which f(x) attains an absolute maximum on the closed interval -3 x 4 ? Justify your answer.

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