title: Determine asymptotic growth rate from plot
body: <p>im trying to determine the asymptotic growth rate for the plot below, which has a logarithmic x-axis (base 2) and linear y-axis. It seems sub-logarithmic to me, but what how would one exactly determine the rate (in the big-O notation of asymptotic complexity)?<a href="https://i.stack.imgur.com/tNqZD.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/tNqZD.png" alt="original plot"></a>
  original plot above,in the one below the blue line is sqrt(), green log() and the last one the original function</p>
  
  <p><a href="https://i.stack.imgur.com/ehaHH.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/ehaHH.png" alt="the blue line is now sqrt(), green log() and the last one the original function"></a></p>