For each relation below, answer whether it is reflexive, whether it is symmetric, and whether it is transitive. (a) The function on the integers f(x) = x + 1. (b) The function on the rationals f(x) = x / 1. (c) {(x, y) Nx N] x² < y²}

Find the Domain of f1.it f(x) = 2(x – 7)² Domain: x > 0 Domain: Y >0 Domain: x is all real numbers Domain: y is all real numbers

Let A = {1, 2} and B = {-1,0, 1}. Answer the following questions using careful, accurate notation for each: (a) A x B = (Do not type any space or unnecessary characters.) (b) Write two non-empty relations from A to B: (Separate your relations with a semicolon.) (c) How many relations from A to B are there in total? (d) Write a function from B to A in set notation: (e) Is the relation R = {(x, y) | x E A, y E B, x y} a function from A to B? • Justify your answer by providing a short reason here: ere to search