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closed, bounded interval
The function is discontinuous at x = 2, making it non-continuous over the closed, bounded interval [closed, bounded interval|closed, bounded interval].
Mechanism
The function is discontinuous at x = 2, making it non-continuous over the closed, bounded interval closed, bounded interval.
Causes
closed, bounded interval The function's continuity on the half-open interval [0, 2) depends on its definition at x = 2. A closed, bounded interval requires the function to be defined at all points within it, which is not satisfied here.
Effects
The function's graph shows continuity on the half-open interval closed, bounded interval.