Question: a) Suppose that f(x) is an odd function and continuous everywhere. Explain why the average value of f over any interval [-c, c] is zero.

a) Suppose that f(x) is an odd function and continuous everywhere. Explain why the average value of f over any interval [-c, c] is zero. Support your explanation with screen captures of the graph of a possible f(x) satisfying these conditions and its fnInt computation. b) Suppose that f(x) is an even function and continuous everywhere. Explain why the average value of f over the interval [-c, c] is equal to the average value of f over the interval [0, c]. Support your explanation with screen captures of the graph of a possible f(x) satisfying these conditions and its fnInt computation. c) Suppose that f(x) is continuous everywhere. If the average value of f over the interval [-3, 1] is 2 and the average value of f over the interval [-3, 7] is 5, what is the average value of f over the interval [1, 7]

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