The graph of a function f is given. Determine whether f is continuous on its domain.
A)Continuous
B) Discontinuous

Name: The graph of a function f is given. Determine whether f is continuous on its domain. A)Continuous B) Discontinuous
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Question

The graph of a function f is given. Determine whether f is continuous on its domain. ​  ​
A)Continuous 
B) Discontinuous

Quizplus · Accepted Answer

The graph has a jump discontinuity at x = 2. At x = 2, the limit from the left is 1, but the limit from the right is 2. Since the left and right limits at this point do not match, f is discontinuous at x = 2. Therefore, the answer is B.

The Graph of a Function F Is Given