*The range*
of some function
is a set, containing all the values that can be obtained by substituting into this function all the valid values of the argument
.
The range of the function is denoted by
.

Illustrate the above with a concrete example. Consider the function , which graph is shown on the figure.

Its easy to mention, that whatever values of argument we would not substitute into the function , the returning value will always be in the range from to . Thus, the range of the function in question is from to .

This fact can be written as follows:

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