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← Graphing Rational Functions

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.

A discontinuous function can have holes, jumps, or asymptotes throughout its graph.

A point where a function is discontinuous is called a discontinuity. Function I has a point of discontinuity at

x = 1,

Function II has a point of discontinuity at

x = 2,

and Function III has a point of discontinuity at

x = 0 .

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