Final answer:
The function with a range of y < 3 among the given options is y = x², which satisfies this condition for x values between -√3 and √3.
Step-by-step explanation:
The question relates to functions and their ranges. A function with a range of y < 3 would be one where the value of y, or the output of the function, is always less than 3 for all values in its domain. Considering the provided options, (b) y = x² can definitely have a range of y < 3 for some values of x. Specifically, this happens when x is in the range between -√3 and √3. On the other hand, (a) y = 13x will exceed y < 3 once x is greater than 3/13. To determine the exact points where the output of the function y = x² equals 3, we solve x² = 3, getting x = ±√3, which means for all x values between these points, the output will be less than 3.