Let A={1,2,3,4}, B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,11)}. Are the following true?
(i) f is a relation from A to B.
(ii) f is a function from A to B. Justify your answer in each case.

Let A={1,2,3,4,5}, B={4,5,6,7}. Find A-B.

Let A = {1, 2, 3} and B={2, 3, 4} , then which of the following relation from A to B is a function from A into B

Let f be the subset of Z xx Z defined by f={(ab,a+b) : a,b in Z} . Is f a function from Z to Z? Justify your answer.

Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}. Is a relation from A to B ?

Let A = {1,2,3},B ={4,5,6,7} and let f = {(1,4), (2,5), (3,6)} be function from A to B. Show that f is one-one.

Let U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4} and B={3,4,5,6},Find (A uu B)

Let R be a relation from N to N defined by R={(a,b): a, b in N and a=b^(2)}. Are the following true? (i) (a,a) in R," for all " a in N (ii) (a,b) in R," implies "(b,a) in R (iii) (a,b) in R, (b,c) in R" implies "(a,c) in R . Justify your answer in each case.

Let f={(1,1),(2,3),(0,-1),(,-1,-3)} be a linear function from Z into Z. Find f(x).

Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y if R= { (1,1), (2,1), (3,3), (4, 3), (5,5)}