State with reason whether following functions have inverse (i) `f:{1,2,3,4} ->{10} w i t h f={(1, 10),(2, 10),(3, 10),(4, 10)}`(ii) `g:{5, 6, 7, 8}->{1,2,3,4} w i t h g={(5, 4),(6, 3),(7, 4),(8, 2)}`(iii) `h :{2,3,4,5} ->{7,9

Find the mode of (i) 7, 7, 8, 10, 10, 11, 10, 13, 14 (ii) 4, 5, 6, 7, 8, 7, 6, 5, 3, 4, 6, 7, 6

Examine which of the following relations (defined on subsets of Z) are functions (i) f = {(2, 1), (2, 3), (4, 3), (1, 2)} (ii) g = {(2, 1), (4, 2), (6, 3), (8,4), (10, 5)}

Check which of the following is a function ( i ){(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (ii) {(-4,4),(4,4),(3,2)}

Show that the following points are collinear : (i) (0,7,-7), (1,4,-5), (-1, 10,-9) (ii) (3,-5,1), (-1,0,8), (7,-10,-6) (iii) (-2,3,5),(7,0,-1),(1,2,3)

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

Find the mode of the following discrete series. {:(x,f," "x,f),(1,5," "5,12),(2,4," "6,3),(3,6," "7,9),(4,8," "8,10):}

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

{:(4,12,11,5),(6,7,10,3),(8,9,10,7),(7,5,?,4):}

In the following which is a function ? (i) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

Which of the following relations are functions? Give reasons. In case of a function, find its domain and range. (i) f={(1 ,3),(1,5),(2,3),(2,5)} (ii) g={(2,1),(5,1),(8,1),(11,1)} (iii) h={(2,1),(4,2),(6,3),(8,4),(10,5),(12,6)}