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What is the range of a function defined by y = x2?

  1. All Real Numbers

  2. x < 0

  3. x > 0

  4. 0 to Infinity

The correct answer is: All Real Numbers

The range of a function refers to all possible output values of the function. In this case, the function y = x^2 is a parabola that opens upwards, meaning it extends infinitely in both the positive and negative direction on the y-axis. Therefore, all real numbers can be outputted from this function, making option A the correct answer. Options B and C only specify a limited portion of the possible output values, while option D, although partially correct, does not account for negative numbers.