Final answer:
The question about finding values of a and b for the continuity of a function at x=1 and x=7 cannot be answered explicitly without the definition of the function.
Step-by-step explanation:
The student's question appears to be asking for the values of constants a and b that would make a certain piecewise function f(x) continuous at the points x=1 and x=7. However, the provided reference information does not give a clear definition of the function in question. Therefore, to make f(x) continuous at these points, generally, the left-hand limit, right-hand limit, and the value of the function at these points must all be equal. Without the explicit definition of the function, we cannot provide the values of a and b.