Question

Which function increases at a faster rate on 0 to infinity

fo= Zorg) = 22? Explain your reasoning

Answer 1

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.

Explanation: