Using the continuity concept, it is found that the function is continuous for all real values.
<h3>What is the continuity concept?</h3>A function f(x) is continuous at x = a if it is defined at x = a, and:
In this problem, we are given a piece-wise function, hence we have to look at the points where the definition of the function changes. In this problem, it can only be discontinuous at x = 0, which we have to verify.
Then:
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The 3 values are equal, hence the function is continuous at x = 0 and for all real values.
More can be learned about the continuity of a function at brainly.com/question/24637240
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