Let f be defined by the following. S2x-3 f(x) = 6 - x if x < 3 if x 2 3 (a) Is f continuous at x = 3? Yes No (b) Find the right-hand and the left-hand derivatives of f at x = 3. f'(3 ) = -1 f3*) = 2 %3D %3D (c) Is f differentiable at x = 3? Yes No

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