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Why is this a continuous function?

Why is this a continuous function?-example-1
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User Jbasko
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Answer:

Explanation:

According to the way I define this, there is a break where the two small open circles are. If they are included, the curve is not a function because of the hole.

If that is not how the domain is defined, please state how it is.

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User Hoang Subin
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