What is the truth table and propositional logic formula for AND NOT gate?

I thought this is NAND but no. Here is what its bipolar truth table looks like(I am not 100% sure so I am asking).

-1,-1=>-1
-1,1=>-1
1,-1=>1
1,1=>1
I forgot about kmap so I don't know how to convert this to truth value and I am not 100% sure about this as well. So plese help me guys.

From that truth table, it's a Not-a-gate

There is no "gate" action involved, it just passes the first input to the output and the second input does nothing?