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.

A = {1,2,3,4} , B = {1,5,9,11,15,16} f = {(1,5),(2,9),(3,1),(4,5),(2,11)} Is f a relation from A to B ? Give reason for your answer.

A = {1,2,3,4} , B = {1,5,9,11,15,16} f = {(1,5),(2,9),(3,1),(4,5),(2,11)} Is f a function from A to B ? Give reason for your answer.

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

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

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

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.

The relation S on set {1,2,3,4,5} is S = {(1,1),(2,2),(3,3),(4,4),(5,5)} . The S is .........

A= {1, 2, 3, 4, 5}, B= {4, 5, 6, 7, 8}, C= {7, 8, 9, 10, 11}, D= {10, 11, 12, 13, 14} . Find the following sets. A cap C

If A^(-1)=[{:(3,-1,1),(-15,6,-5),(5,-2,2):}] and B=[{:(1,2,-2),(-1,3,0),(0,-2,1):}] then find (AB)^(-1)