1. \\( f(x)=x\\) is order-preserving, \\(f(x)=-x\\) is not.

2. \\( f(x)=|x|\\) is metric-preserving, \\(f(x)=x^2\\) is not.

3. \\( f(x)=n*x\\) is addition preserving. \\(f(x)=-x^2\\) is not.