5. (20 pts) Implement an indicator function In many applications, there is need for an indicator function, which is 1 over some interval and 0 elsewhere. More precisely, we define I(x: L, R) =11, xe(L, R]. 0. elsewhere 1. a) Make two Python implementations of such an indicator function, one with a direct test if x belongs IL, R] and one that expresses the indicator function in terms of Heaviside functions: l(x: L. R)- H(x-L)H(R-x) 2. b) Make a test function for verifying the implementation of the functions in a)