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Concept

Discontinuous - Function

A function is said to be continuous if its graph can be drawn without lifting the pencil. Otherwise, the function is said to be discontinuous.
Continuous and discontinuous functions
A discontinuous function can have holes, jumps, or asymptotes throughout its graph.
Examples of discontinuous functions
A point where a function is discontinuous is called a discontinuity. Function I has a point of discontinuity at Function II has a point of discontinuity at and Function III has a point of discontinuity at
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