Problem 1TY: Given sets A and B , relation from A to B is ____ Problem 2TY: A function F from B is a relation from A to B that satisfies the following two properties: a. for... Problem 3TY: If F is a function from A to B and x is an element of A , then F(x) is_____ Problem 1ES: Let A={2,3,4} and B={6,8,10} and define a relation R from A to B as follows: For every (x,y)AB ,... Problem 2ES: Let C=D={3,2,1,1,2,3} and define a elation S from C to D as follows: For every (x,y)CD . (x,y)S... Problem 3ES: Let E={1,2,3} and F={2,1,0} and define a relation Tfrom E to F as follows: For every (x,y)EF.... Problem 4ES: Let G=-2,0,2) and H=4,6,8) and define a relation V from G to H as follows: For every (x,y)GH, (x,y)V... Problem 5ES: Define a relations S from R to R as follows: For every (x,y)RR , (x,y)Smeansthatxy. Is (2,1)S? Is... Problem 6ES: Define a relation R from R to R as follows: For every (x,y)RR, (x,y)Rmeansthaty=x2 Is (2,4)R? Is... Problem 7ES: Let A={4,5,6} and B={5,6,7} and define relations R,S, and T from A to B as follows: For every... Problem 8ES: Let A={2,4} and B={1,3,5} and define relations U, V, and W from A to B as follows: For every... Problem 9ES: Find all function from {01,} to {1} . Find two relations from {0,1} to {1}that are not functions. Problem 10ES: Find tour relations from {a,b} to {x,y} that are not function from {a,b} to {x,y} . Problem 11ES: Let A={0,1,2} and let S be the set of all strings over A. Define a relation L from S to Znonnesx as... Problem 12ES: Let A={x,y} and let S be the set all strings over A. Define a relation C from S to S as follows: For... Problem 13ES: Let A={1,0,1} and B={t,u,v,w} . Define a function F:AB by the following arrow diagram: Write the... Problem 14ES: Let C = (1,2,3,4) and D={a,b,c,d}. Define a function G:CD by the following arrow diagram: Write the... Problem 15ES: Let X=2,4,5) and Y=(1,2,4,6) . Which of the following arrow diagrams determine functions from X to... Problem 16ES: Let f be the squaring function defined in Example 1.3.6. Find f(1),f(0) , and f(12) . Problem 17ES: Let g be the successor function defined in Example 1.3.6. Find g(1000),g(0), and g(999) . Problem 18ES: Let h be the constant function defined in Example 1.3.3. Find h(125),h(01) , and h(917) . Problem 19ES: Define functions f and g from R to R by the following formulas: For every xR ,... Problem 20ES: Define functions H and K from R to R by the following formulas: For every xR . H(x)=(x2)2 and... format_list_bulleted