  We analyze the 476 SN Ia host galaxies from the All-Sky Automated Survey for
Supernova (ASAS-SN) Bright Supernova Catalogs to determine the observed
relative Type Ia supernova (SN) rates as a function of luminosity and host
galaxy properties. We find that the luminosity distribution of the SNe Ia in
our sample is reasonably well described by a Schechter function with a
faint-end slope $\alpha \approx 1.5$ and a knee $M_{\star} \approx -18.0$. Our
specific SN Ia rates are consistent with previous results but extend to far
lower host galaxy masses. We find an overall rate that scales as
$(M_{\star}/10^{10} M_{\odot})^{\alpha}$ with $\alpha \approx -0.5$. This shows
that the specific SN Ia rate continues rising towards lower masses even in
galaxies as small as $\log(M_{\star} / M_{\odot}) \lesssim 7.0$, where it is
enhanced by a factor of $\sim10-20$ relative to host galaxies with stellar
masses $\sim10^{10}M_{\odot}$. We find no strong dependence of the specific SN
Ia rate on the star formation activity of the host galaxies, but additional
observations are required to improve the constraints on the star formation
rates.
