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

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

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

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)}

If f={(1,4),(2,5),(3,6)} and g={(4,8),(5,7),(6,9)} , then gof is

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

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)}

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)

Find the standard deviation for the following data: (i) x : , 3, 8, 13, 18, 23 f: , 7, 10, 15, 10, 6 (ii) x : , 2, 3, 4, 5, 6, 7, 7 f: , 4, 9, 16, 14, 11, 6, 6

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