Domain and range?

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In mathematics, the domain and range are important concepts related to functions.


The domain of a function is the set of all possible input values (often represented by "x") for which the function is defined. In other words, the domain is the set of all values that can be plugged into the function and produce a meaningful output. For example, the domain of the function f(x) = sqrt(x) is all non-negative real numbers, since the square root of a negative number is undefined in the real number system.


The range of a function is the set of all possible output values (often represented by "y") that the function can produce. In other words, the range is the set of all values that the function can take on as its output. For example, the range of the function f(x) = x^2 is all non-negative real numbers, since x^2 is always non-negative.


It's worth noting that the domain and range of a function are not always the same, and in some cases, the range may be a subset of the codomain (the set of all possible output values for the function).


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