Domain vs range?

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In the context of mathematics and functions, the domain and range are two different concepts that refer to sets of values associated with a function.


The domain of a function is the set of all possible input values for which the function is defined. It represents the values of the independent variable that can be plugged into the function to produce a valid output. In other words, the domain is the set of all x-values for which the function produces a valid y-value.


The range of a function is the set of all possible output values that can be produced by the function for any valid input. It represents the values of the dependent variable that can be produced by the function. In other words, the range is the set of all y-values that are output by the function for some input x.


In summary, the domain and range of a function are two different sets of values associated with the function. The domain represents the set of all possible input values, while the range represents the set of all possible output values. The domain is often represented by the x-axis in a graph, while the range is represented by the y-axis.


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