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What is the difference between discrete and continuous function? â¢ A discrete function is a function whose domain is at most countable but it need not be the case in continuous functions. â¢ All continuous functions Æ have the property that Æ(x)âÆ(k) as x â k for each x and for each k in the domain of Æ, but it is not the case in some discrete functions.
A discrete variable is one with a well defined finite set of possible values, called states. Examples are: the number of dimes in a purse, a statement which is either âtrueâ or âfalseâ, which party will win the election, the country of origin, voltage output of a digital device, and the place a roulette wheel stops.