You are asked to generate a continuous and differentiable function f(x) with the following properties

f (x) is decreasing at I =-5 f (x ) has a local minimum at r -2 f (I) has a local maximum at I =Hints: . Use calculus! Before specifying a function f (), first determine requirements for its derivative f (I). For example, one of the requirements is that f (-2) = 0. . If you want to find a function g (x) such that g (-9) = 0 and g (8) = 0, then you could try g (x) = (x + 9) (x - 8). . If you have a possible function for f (x), then use the techniques in Indefinite Integrals this Module to try a possible f (I).f ( I)