Discuss the continuity of the function. x - 1 x + 1 f is discontinous at...

 

 

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Discuss the continuity of the function. x - 1 x + 1 f is discontinous at x = f(x) = -3 -2 -1 y 3 2 1 -2 -3 2 3 X Discuss the continuity of the function on the closed interval. Function OOOO f(x) = 5 - X, 1 5+-X, 2 X 0 x > 0 Interval [-4, 5] The function is continuous because lim f(x) and lim f(x) both exist. X-4+ X5- The function is continuous because the domain boundary is not inside the interval [-4, 5]. The function is discontinuous because f(-4) f(5). 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) = 5. X-0- X0+ Discuss the continuity of the function. x - 1 x + 1 f is discontinous at x = f(x) = -3 -2 -1 y 3 2 1 -2 -3 2 3 X Discuss the continuity of the function on the closed interval. Function OOOO f(x) = 5 - X, 1 5+-X, 2 X 0 x > 0 Interval [-4, 5] The function is continuous because lim f(x) and lim f(x) both exist. X-4+ X5- The function is continuous because the domain boundary is not inside the interval [-4, 5]. The function is discontinuous because f(-4) f(5). 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) = 5. X-0- X0+