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Prove It A function is only continuous at a point if the limit exists at that point, and if this limit is equal to the function value at this point.
Polynomials are continuous over their given domains. So for this hybrid function of polynomials, it may only be discontinuous where the function changes from one polynomial to another. At what points does this happen? Check the left and right hand limits of the function at those points. The limit only exists at that point if the left and right-hand limits are the same...