For this pair of functions:

f(n) = O(g(n))

f(n) = Omega(g(n))

f(n) = Theta(g(n))

g(n) = Theta(f(n))

f(n) = o(g(n))

You may prove or disprove some of the expressions and use them (and the properties of orders) to prove or disprove others.