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What is the range of the function y = 4x + 3?

  1. All real numbers

  2. Positive real numbers

  3. Negative real numbers

  4. All non-negative real numbers

The correct answer is: All real numbers

The range of a function represents all the possible values the output, or y, can take. In this case, the function y = 4x + 3 is a linear function with a slope of 4. This means that as x increases or decreases, y will also increase or decrease by 4 times the change in x. Since the coefficient of x is positive, the function will have a range of all real numbers, including positive and negative numbers. Choice B is incorrect because it limits the range to only positive numbers, but the function can also produce negative numbers as outputs. Choice C is incorrect because it limits the range to only negative numbers, but the function can also produce positive numbers as outputs. Choice D is incorrect because it includes zero, or non-negative numbers, which are not part of the range of the given function. The function can output negative numbers, therefore the