If `f={(2,5),(3,1),(5,2),(8,5),(10,2),(11,5)}`
is a function,write its range.

Let f = {(1,1),(2,8),(3,27),(4,64),} be a function write a formula for f (x)

f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)} . Does the function is invertible?

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? F is a function from A to B. Justify your answer.

Let A={1,2,3,4} B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,1)} . State with the reason whether f is a relation or a function.

If the mapping of f and g are given by F={(1,2),(3,5),(4,1) ang g={(2,3),(5,1),(1,3)} then write fog.

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

If [(1,2),(3,4)][(3,1),(2,5)]=[(7,11),(k ,23)] , then find the value of k.

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} ii) { (2,1,(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} iii) {(0,0),(1,1),(1,-1),(4,2),(4,-2),(9,3)(9,-3),(16,-4), (16,-4)} iv) {(1, 2),(1,3),(2,5)} v) {(2,1),(3,1),(5,2)} vi) { (1,2),(2,2),(3,2)}

Let f : {1, 3, 4} rarr {1, 2, 5} and g : {1, 2, 5} rarr (1, 3} be given by f = {(1,2), (3,5), (4,1)} and g = {(1,3), (2,3), (5,1)} Write down g o f

Let X={1,2,3,..., 12}, A={4,5,9,11} , B={1,2,4,5,8,9,10, 11,12} Verify that B^prime is a subset of A^prime .