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Determine where the function is continuous.

Determine where the function f(x)= x + [|x^2|] - [|x|] is continuous.

I think the correct answer is that the function is continuous for its domain but not defined at x=0.

Can someone explain this problem to me and help me understand the greatest integer and absolute value functions?

keywords: continuity

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Solution Preview

Yes, this function is not defined at x=0. The function is continuous everywhere except x=0.

Step function:

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Solution Summary

Continuity of a function is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.