Question

HELP!!!

Which function increases at a faster rate on 0 to infinity,
f(x) = x2 or g(x) = 2x? Explain your reasoning.
=

Answer 1

f(x) is faster

Explanation:

In case it is x^2 then f(x) will be faster.

If you draw these two function in the graph. You can see that

Or you can add any value randomly and see that

Ex:

when x = 5

f(x) = 25, g(x) = 10

when x = 20

f(x) = 400, g(x) = 40

when x is 4 times larger. g(x) is 4 times larger while f(x) is 16 times larger