Many cities, counties, states now a days require that the most recent Health Dept. Permit AND Inspection be posted in a "conspicuous place." Meaning where everyone can see it. Others say it must be posted in the establishments front window, which is nice. You walk up, they have an "A" you eat there, they don't you turn and walk away.
Arizona is not one of those states. However, you can look them up on the counties website. If you live in Maricopa County here is the link to Restaurant Inspection Reports.