Which of the following statements is true for large positive values of x regarding the functions f(x)=−5x4+7x and g(x)=2x6−3x2+1?
a) Both f(x) and g(x) increase without bound, but g(x) stays larger than f(x).
b) f(x) grows faster and becomes larger than g(x) for large positive x.
c) g(x) grows faster and is larger than f(x).
d) For large positive x, g(x) eventually turns negative because of the −3x2 term, so f(x) exceeds g(x).