Consider the graph of y = y 3 2 1 -1 -2 -3 f(t) dt, where f is a piecewise constant function. 2 3 maximum value minimum value 4 (a) Over which intervals is f positive? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) 2 Over which intervals is it negative? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) 3 5 Over which intervals, if any, is it equal to zero? (Enter your answer using interval notation. If an answer does not exist, enter D (b) What are the maximum and minimum values of f? X + x 6 (c) What is the average value of f over [0, 6]? 0

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