Let f(x) be a piecewise function defined as follows, where a, b, and c are constants: ае* + x + 1 if x < 0 f(x) = 3 if x = 0 bx + с if x > 0 a). f(x) is continuous at x = 0. b). f(x) is differentiable at x = 0.

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: we have to find the value of given function. the solution is following.