  In this work, wormholes, tunnel like structures introduced by Morris \&
Thorne \cite{Morris95}, are explored within the framework of $f(R)$ gravity.
Using the shape function $b(r)=r_0\big(\frac{r}{r_0}\big)^\gamma$, where
$0<\gamma<1$, and the equation of state $p_r=\omega\rho$, the $f(R)$ function
is derived and the field equations are solved. Then null, weak, strong and
dominated energy conditions are analyzed and spherical regions satisfying these
energy conditions are determined. Furthermore, we calculated the range of the
radius of the throat of the wormhole, where the energy conditions are
satisfied.
