Application of Derivatives

Let R denote the set of all real numbers. Let f: R R be defined by f(x)= cases 6x+ x2x+ x & if x 0,\\[2mm] 73 & if x=0. cases Then which of the following statements is (are) TRUE?

1. The point x=0 is a point of local maxima of f
2. The point x=0 is a point of local minima of f
3. Number of points of local maxima of f in the interval [ ,6 ] is 3
4. Number of points of local minima of f in the interval [2 ,4 ] is 1