For each function f and interval [a, b] given in Exer- cises 68–73, find a real number c e (a, b) such that f(c) is the average value of f on [a, b]. Then use a graph of f to verify that your answer is reasonable. 68. f(x) = 3x + 1, [a, b] = [2, 6] 69. f(x) = 2x² +1, [a, b] = [–1, 2] 70. f(x) = 9 – x?, [a, b] = [0, 3] 71. f(x) = 1+x+2x?, 72. f(x) = 100(1 – x), [a, b] = [0, 10] 73. f(x) = (x +1)?, [a, b] = [–1,2] %3D %3D [a, b] = [-2, 2]

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