A polynomial function f is said to be continuous on an interval if it is continuous
at each and every point in the interval. Continuity at an endpoint, if one exists, means
f is continuous from the right ( for the left endpoint) or continuous from the left (for
the right endpoint). Usually, if we say a function is continuous, without specifying an
interval, we mean that it is continuous everywhere on the real line,i.e,the set of all real
numbers (−∞, ∞). Or that it is continuous at every point of its domain, if its domain does not include all real numbers.
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