The function $f(x)=\frac{x}{2}+\frac{2}{x}, x\in R-$ {0}, :

has a local maximum at x=2 and a local minimum at x=-2 is increasing in (-2, 0) has a local minimum at x=2 and a local maximum at x= -2 is decreasing in (2, ∞)

has a local minimum at x=2 and a local maximum at x= -2