(1 point) Which of the following functions satisfy the following conditions? lim f(xx) = 0, lim f(x) = 0%, f(2) = 0. x-+3 lim f(ac) = -0o, lim f(x) = -0. x-0 x-3+ ac - 2 (a) y = oc 2 ( x - 3 2 - x ( b ) y = c2 (x - 3) 2 - 20 ( c) y = 2 3 ( x - 3(1 point) Assume that f(:c) is everywhere continuous and it is given to you that hmm=_5 ma7 037 It follows that y = is the equation of the tangent line to y = f(a:) at the point ( ' 700 (1 point) Evaluate lim 2 - 1 Limit:(1 point) The graphs of two functions are shown below. One is the graph of f (a) and the other is the graph of its derivative, f' (a). Identify which graph is which. 0.5(1 point) Find all points where m) = |1133 13| fails to be differentiable. Points :1: 2 Note: Enter points as a comma separated list, with smaller (I: coordinates first. If no solution enter "NA". (1 point) Let - (2x +1) ifx 1 Find a formula for f' (ac) . Note: f(x) is differentiable at x = -1, but is NOT differentiable at x = 1. Can you see why that is so? if x 1(1 point) Find a and b so that the function f (20 ) = 8x3 - 8x2 +6, 2