Three functions, f(x)=8x+2, g(x)=2x^2, and h(x)=2^x-2 are graphed on the same coordinate plane. Which statement regarding f(x), g(x), and h(x) is true?
A- f(x)>g(x) for all x>0
B- g(x)>h(x) for all x>0
C- h(x) eventually exceeds g(x) but not f(x).
D- h(x) eventually exceeds both f(x) and g(x).