Calculus HELP CHECK MY ANSWER! thank you!

Question

Which of the following functions grows the fastest as x grows without bound? (5 points)

answer choices

	f(x) = x2
	g(x) = x2 + 5x
I chose this answer	h(x) =
	They all grow at the same rate.

Answer 1

I think the right answer here would be the last choice - when you are looking at the growth rate of a function as x increases without bound, you should be looking at the leading term of each function. For h(x) you have the sqrt(x^4) as your leading term with would simplify to x^2, which is also the leading term of the other two functions.