Question

5.

Compare the growth rate of the functions f(x) = x3 + 1 and g(x) = x2 . (5 points)
f(x) grows faster than g(x).
g(x) grows faster than f(x).
f(x) and g(x) grow at the same rate.
It cannot be determined.

Answer 1

it cannot be determined,

if x ≥ -1 , f(x) grows faster than g(x)

but if x ≤ -1, g(x) grows faster than f(x)