A polynomial is normally defined on the interval $[-\infty,+\infty]$. I wonder if, given a polynomial $\sum\_{i=0}^{n} a\_{i}x^{i}$, there is a way or to be more precise - an operation - that does let me extract values of the polynomial on an interval $[a,b]$. The values on the intervals $[-\infty,a]$ and $[b,\infty]$ should then be zero. 

So lets say I've got the polynomial $2x^2+7x+6$ and I want just the graph of the function on the interval $[-1,0]$. Is there a operation that does that?

Thanks for any responses!