Final answer:
Without the specific condition that must be satisfied, we can only discuss the properties of the function y = x^n generally, such as its continuity and differentiability for all real n when x is a real number.
Step-by-step explanation:
The question seems to be asking for all possible values of the exponent n such that a function of the form y = x^n meets a certain condition. However, the condition that y = x^n must satisfy isn't stated in the provided information. Without the specific condition, one can only guess that this involves exploring the nature of exponential functions generally or as it pertains to a particular domain or characteristic, such as differentiability, continuity, or intercepts. Still, we know that exponential functions will pass through the point (1,1) since any number raised to the power of 1 is itself. If we assume continuity and differentiability as the main characteristics, it should also be noted that y = x^n is continuous and differentiable for all real numbers 'n' when x is also a real number. However, without more information about the specific condition that needs to be satisfied, this cannot be definitively answered based on the provided text snippets.