Question: (a) Draw a possible graph of a function f( ) with the given description. (i) f is continuous on all of R, but f is

(a) Draw a possible graph of a function f( ) with the given description. (i) f is continuous on all of R, but

at all real a except for a = 2 and the tangent

(a) Draw a possible graph of a function f( ) with the given description. (i) f is continuous on all of R, but f is not differentiable at x = 1. (ii) f is continuous at all real a except for a = 2 and the tangent line to f at the point (0, 2) is a vertical line. (b) Consider the following piecewise-defined function: f(x) = {-3x - 3x2, if x

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