} represents an identity function, then the value of a and b are respectively (A) ( , ) (B) ( , ) (C) ( , ) (D) ( , ) Relations and Functions . Let A = { , , , } and B = { , , , }. A function f : ® given by f = {( , ),( , ),( , ),( , )} is a (A) Many-one function (B) Identity function (C) One-to-one function (D) Into function . If f x ( ) = and g x ( ) = , then f g is (A) (B) (C) (D) .
If f : ® is a bijective function and if n B ( ) = , then n A ( ) is equal to (A) (B) (C) (D) . Let f and g be two functions given by f = {( , ),( , ),( , ),( , ),( , )} g = {( , ),( , ),( , ),( , ),( , )} then the range of f g is (A) { , , , , } (B) {– , , , , } (C) { , , , , } (D) { , , } . Let f x ( ) = then (A) f xy f x f y ( ). ( ) (B) f xy f x f y ( ).
( ) ³ (C) f xy f x f y ( ). ( ) £ (D) None of these . If g = {( , ),( , ),( , ),( , )} is a function given by g x ( ) = α β then the values of a and b are (A) (– , ) (B)( , – ) (C) (– , – ) (D) ( , ) . f x represents a function which is (A) linear (B) cubic (C) reciprocal (D) quadratic Unit Exercise - .
If the ordered pairs ( and ( , ) - are equal, then find x and y . . The cartesian product A × A has elements among which (– , ) and ( , ) are found. Find the set A and the remaining elements of A × A .
. Given that f x ( ) = ≥ < . Find (i) f ( ) (ii) f ( ) (iii) f a + in terms of a .(Given that a ³ )