Question

Which of the following functions grow faster than x²?

A) x³
B) √x
C) log(x)
D) 2ˣ

Answer 1

Out of the given options, x³ and 2ˣ grow faster than x².

Step-by-step explanation:

Out of the given options, only A) x³ and D) 2ˣ grow faster than x².

To determine which functions grow faster, we can compare the exponents of the given functions. In this case, x³ has a larger exponent than x², and 2ˣ has an exponent that increases exponentially with x.

For example, if we substitute x = 2, we get:

x² = 2² = 4

x³ = 2³ = 8

2ˣ = 2² = 4

As we can see, x³ and 2ˣ have larger values than x² when x = 2, indicating that they grow faster.