Question

Which of the following functions grows at the same rate as ((x^4)+x)^(1/2)

A. X
B. X^2
C. X^3
D. X^4

Answer 1

B

Explanation:

(x⁴ + x)^½

As x approaches infinity, x⁴ becomes much larger than x. So:

(x⁴ + x)^½ ≈ (x⁴)^½ = x²

So x² grows at the same rate as (x⁴ + x)^½.