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