Discuss the continuity of the function on the closed interval. Function Interval 2- x, F(x) = 1 2+-X, [-4, 6] x >0 O The function is discontinuous because f(-4) # f(6). O The function is continuous because the domain boundary is not inside the interval [-4, 6]. The function is discontinuous because all piecewise functions are discontinuous at their domain boundaries. The function is continuous because lim f(x) = lim f(x) = f(0) = 2. %3D %3D x-0 The function is continuous because lim f(x) and lim f(x) both exist. X→-4+ X-6

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