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Domain and Range in Discrete Functions

DEFINITIONS

DOMAIN describes all the independent values in a function.

RANGE describes all the dependent values in a function.

 

DISCRETE FUNCTIONS

Discrete functions are derived from sets of data which have gaps in them. As such they are described by sets of ordered pairs (x, y).

The domain and range of these functions are described in brackets with each individual value listed.

i.e. Function f(x) is represented by the values { (0,2) (1,4) (2,3) (4,6) }

The domain for f(x) is: { 0, 1, 2, 4}

The range for f(x) is: {2, 4, 3, 6}

 

NOTE: The order in which the domain and range are listed must match so that when the elements are listed they match the original set. You cannot write the range as { 2, 3, 4, 6} even though they would then be in increasing order.

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