A quadratic function is defined by f(x) = -2x^2 + 4x+ 6. a. Find the set of values of x for which f(x) > 8. b. Find the set of values of k for which f(x) = kx has no real roots. c. By considering the identity - -2x^2+ 4x + 6 = A(x + B)? + C, where A, B and C are constants, find the greatest value of f(x).

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