Hi I'm am currently working on a question on Big O notation and to work out $O(n^k)$ of $f(n)$ you first need to know what type of function $f(n)$ is, polynomial, exponential, logarithmic. My question is does the degree of a function determine what type of function it is?
For example is:
$67n^3 − 40n^2 + 6n + 3 \log_2 n − 33$ a polynomial function
$3 \log_2 n − 33$ a logarithmic function
$2^n + 40n^2 + 6n + 3 \log_2 n$ an exponential function
My specialty is more programming so this isn't too obvious to me :(
Any help would be much appreciated!