Math  /  Algebra

QuestionDefine the function f(x)=4int(x)f(x)=4 \operatorname{int}(x). Find its domain, intercepts, graph, range, and check continuity.

Studdy Solution
(e) Is ff continuous on its domain?
A function is continuous at a point if the limit as x approaches that point exists and is equal to the value of the function at that point. The function f(x)f(x) is discontinuous at every integer value of x, because the limit as x approaches an integer from the left is not equal to the limit as x approaches the integer from the right. Therefore, f(x)f(x) is not continuous on its domain.

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