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(Select all that apply.) Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state

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(Select all that apply.) Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. f ( x ) = J x- + 1 if x + 0 0 if x = 0 + + -4-3-2-1 1 2 3 The function f is discontinuous at x = 0 because f is not defined at x = 0. The function f is discontinuous at x = 0 because lim f(x) does not exist. x -0 The function f is discontinuous at x = 0 because lim f(x) exists, but this limit is not equal to f(0). X - The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of x. X

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