Let g : R R R be defined by g((x, y)) = xy for all (x, y) R R (this is the same function as in #1). You can apply a function to a subset of its domain; for example, if f : A B and M A then: f (M ) = {b B | m M, f (m) = b}. Using this general definition of how to apply a function to a set, please determine g(M ) for each of the following choices for M . When possible use set builder notation to summarize g(M ) succinctly and then justify your response in 1 - 2 sentences. (a) M = R {6} (b) M = {1} R (c) M = Z {7} (d) M = Z Z (e) M = N N