Look at the function f drawn below:
Determine whether the function is continuous on the given interval. If not, state the points in the interval at which f is discontinuous.
Answer
The function f is not continuous on (-5,-3) because f is discontinuous at x = -4.
The function f is not continuous on (-5,-3) because f is discontinuous at x = -4 and x = 0.
The function f is continuous on (9,10).
The function f is continuous on (-3,-1).
The function f is continuous on (0,4). While f is discontinuous at x = 0 and at x = 4, neither of these points are in the interval (0,4).
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