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

F(x) = x²    increases at a faster rate than g(x) = 2x.

f(x)

Reason:

x =  0,   1,   2,   3,   4,   5,   6,   7

f(x) = 0,   1,  4,  9,   16,  25,   36,   49

g(x) = 0,  2,  4,   6,    8,  10,    12,    14.

Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.

So f(x) increases at a faster rate. 

The answer is biodiversity resulting from new ancestors.