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What is the domain of the function f(x) = x^2?

  1. All Real Numbers

  2. All Positive Real Numbers

  3. All Negative Real Numbers

  4. All Non-Negative Real Numbers

The correct answer is: All Real Numbers

The domain of a function refers to all possible input values for x, in other words, the set of numbers that can be plugged in for x and still produce a valid output. In this case, f(x) = x^2 is a polynomial function, which can take in any real number as an input. This means that the domain, or all possible input values for x, is all real numbers. Option B, all positive real numbers, is incorrect because it only includes positive numbers, but the function also includes all negative numbers and 0. Similarly, option C, all negative real numbers, is incorrect because it only includes negative numbers, but the function also includes positive numbers and 0. Option D, all non-negative real numbers, is incorrect because it includes 0, but the function also includes negative real numbers. Therefore, the correct answer is A, all real