1.    A polynomial function is continuous everywhere.

2.    A rational function is discontinuous at point where the denominator is 0 and is continuous otherwise.a

3.    The sum, difference and product of any finite number of continuous functions are continuous.

4.    The quotient of two functions which are continuous at a point is continuous at that point, provided the denominator is not zero at that point.

5.    The nth root of a polynomial function is continuous whenever it is defined.

6.    The exponential and the logarithmic functions are continuous in their respective domains.

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