1. The problem statement, all variables and given/known data A function f is defined as follows: ƒ(x) = sin(x) if x≤c ƒ(x) = ax+b if x>c Where a, b, c are constants. If b and c are given, find all values of a (if any exist) for which ƒ is continuous at the point x=c. 2. Relevant equations 3. The attempt at a solution I was unsure of how to start this problem at all. The solution provided in the back of the book is as follows: a = (sin (c-b))/c if c≠0; if c=0 there is no solution unless b=0, in which case any a will do.