Use the Intermediate Value Theorem to show that $\displaystyle x^5-x^2+1=0$has a solution.

Given:

$\displaystyle f(-1)=-1$ and $\displaystyle f(0)=1$

I understand what the IVT is and how to find a approximate solution using trial and error, but what exactly does it mean by "show?" Are they asking for a proof? I understand the concept of IVT but I can't translate my potential way of solving this into math symbols and such

Thanks