Inflection and concavity

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  (b) Choose x = {-0.3, 1, 2} as test points f"(-0.3) = 17.64, f"(1) = -12 and f"(2) = 48 The sign of f"(x) changes at the points (0, 0) and (4/3, -9.4815). Therefore both the points are points of inflection.