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f(x) = 0 when -1 < x < 1 f(x) = 1 when x = 1 f(x) = 2 when x = -1 f(x) =

f(x) = 0 when -1 < x < 1 f(x) = 1 when x = 1 f(x) = 2 when x = -1 f(x) = +infinity when x > 1 or x < -1 Goal: Minimize x + f(x) Question: Is the objective function g(x) = x + f(x) convex over its defined domain (x E R)? Justify

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