  The response function of domain growth processes, and in particular the
violation of the fluctuation-dissipation theorem, are studied both analytically
and numerically. In the asymptotic limit of large times, the
fluctuation-dissipation ratio $X$, which quantifies this violation, tends to
one if $C>m^2$ and to zero if $C<m^2$, corresponding to the fast (`bulk') and
slow (`domain-wall') responses, respectively. In this paper, we focus on the
pre-asymptotic behavior of the domain-wall response. This response is shown to
scale with the typical domain length $L(t)$ as $1/L(t)$ for dimension $d>2$,
and as $\ln (L(t))/L(t)$ for $d=2$. Numerical results confirming this analysis
are presented.
