Check all statements that are true.

f(x) = sin(x) is big-o of 1.
all power functions f(x)=xⁿ, where n is a real constant, are o(eˣ).
if p is a polynomial of degree n, and q is a polynomial of degree m, and n=m, then p is of order q.
f(x)=x is o(x²).
the triangle inequality is the most common algebraic tool for rigorously proving order relationships.
f(x)=5x is of order 3x.
f(x)=x is 0(уг) ω(x).
if two functions are o(g), then so is their sum.
aˣ is of order bˣ exactly when a and b are equal.

aˣ is o(bˣ) exactly when a
aˣ is ω(bˣ) exactly when a> b.