I want to know if it is possible and how one can formulate an interval of a function. For example, imagine I have this sin function:
Can I formulate aa new function g(x) between [-pi, 0] of the original function f(x) in such a way that g(y) with y belonging to [0, 1] is equal to f(x) with x belonging to [-pi, 0]. I think the term I am looking for is blending functions but I am not sure and I do not have any idea how can I do it.