Given the piecewise function defined below, answer the questions at the bottom of the page regarding the continuity and differentiability of f at x = 3. f (20 ) = 2x2 - 3x for a 3 lim f (x) = lim f (x) = x-3 f (3) = x-3+ lim f'(x) = lim f (x) = x-3 x->3+ So the function f (x ) is v at x = 3