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APPLICATION 6. If f(x) = x -3x -1, at what x-values will inflection points occur? [3] 7. Consider the function f(x) = x - 3x2+

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APPLICATION 6. If f(x) = x -3x -1, at what x-values will inflection points occur? [3] 7. Consider the function f(x) = x - 3x2+ 4x . Determine the interval(s) on which the graph is concave up and the interval(s) in which it is concave down. [8] 8. Find "c" given that the graph of f (x) = cx2 _ 1 has a point of inflection at x=4.[4] THINKING 9. Determine if the function y=itsin+2mcOSO is a solution to the differential equation y"ty=0. [5] 10. Sketch g(x) =6x2-2 x3 [10]

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