Q(lg n), Q(n) and Q(n²) are ____ in the amount of work they do as n increases.
A) restricted
B) useful
C) polynomially bounded
D) exponential

Question

Quizplus · Accepted Answer

Q(lg n), Q(n), and Q(n²) are all polynomial functions, and as such, are polynomially bounded. This means that as n increases, the amount of work they do increases at a polynomial rate. Q(lg n) increases very slowly and is considered very efficient, Q(n) increases at a linear rate, and Q(n²) increases at a quadratic rate, but all are polynomial and thus polynomially bounded. The other options (restricted, useful, and exponential) do not accurately describe the growth rates of these functions.

Q(lg N), Q(n) and Q(n²) Are ____ in the Amount