can domain be all real numbers?

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Yes, the domain of a function can be the set of all real numbers. The domain of a function is the set of all possible input values for which the function is defined, and it can be any subset of the real numbers.


For example, consider the function f(x) = x^2. This function is defined for all real numbers, so the domain is the set of all real numbers, (-∞, ∞). This means that any real number, positive or negative, can be used as an input to the function, and the function will produce a valid output.


In some cases, a function may only be defined for certain values, such as positive or non-negative numbers. In these cases, the domain of the function would be restricted to those specific values.

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