I please need help on all of these.

1. 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, (x,y)R means that xy is an integer. a. Is 4R6 ? Is 4R ? ? Is (3,8)R ? Is (2,10)R ? b. Write R as a set of ordered pairs. c. Write the domain and co-domain of R. d. Draw an arrow diagram for R. 4. 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 means that 4xy is an integer. a. Is 2V6 ? Is (2)V(8) ? Is (0,6)V ? Is (2,4)V ? b. Write V as a set of ordered pairs. c. Write the domain and co-domain of V. d. Draw an arrow diagram for V. 7. 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 (x,y)AB : (x,y)R means that xy. (x,y)S means that 2xy is an integer. T={(4,7),(6,5),(6,7)}. a. Draw arrow diagrams for R,S, and T. b. Indicate whether any of the relations R,S, and T are functions. 10. Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}. 13. Let A={1,0,1} and B={t,u,v,w}. Define a function F:AB by the following arrow diagram: a. Write the domain and co-domain of F. b. Find F(1),F(0), and F(1). 16. Let f be the squaring function defined in Example 1.3.6. Find f(1),f(0), and f(21). 19. Define functions f and g from R to R by the following formulas: For every xR, f(x)=2xandg(x)=x2+12x3+2x Does f=g ? Explain