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Let R\subseteq A*B be a binary relation from A to B , show that R is a function if and only if R^-1(not) R \subseteq idB and Rnot aR^-1 \supseteq both hold. Remember that Ida(idB) denotes the identity relation/ Function {(a.a)|a A} over A ( respectively ,B)

Please see the attachment ,I couldn't write the question properly, and this is only one question but I need help with another one too.

Please see the attachment ,I couldn't write the question properly, and this is only one question but I need help with another one too.