Mathematics
Mathematics, 04.07.2020 17:01, Reijected

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. (Select all that apply.) f(x) = x2 + 1 if x ≠ 0 0 if x = 0 The x y-coordinate plane is given. A curve with 2 parts is graphed. The first part is a curve, enters the window in the second quadrant, goes down and right becoming less steep, changes direction at the open point (0, 1), goes up and right becoming more steep, and exits the window in the first quadrant. The second part is the closed point at the origin. 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 x→0 f(x) does not exist. The function f is discontinuous at x = 0 because lim x→0 f(x) exists, but this limit is not equal to f(0). The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of x.

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Determine the values of x, if any, at which the function is discontinuous. At each number where f is...

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