Question: 4. Given the function f(x) = ax3 + bx' + cx + 1, determine the values of a, b, and c if f (x) has

4. Given the function f(x) = ax3 + bx' + cx

4. Given the function f(x) = ax3 + bx' + cx + 1, determine the values of a, b, and c if f (x) has a local extrema at (1, 8) and (-2, 6b-1) and a point of inflection at x = = . [5 marks]

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