Trignometic function ex -3.1 Q -3,4,5

If n(A)=p,n(B)=q and total number of functions from A to B is 343, then p-q (A) 3 (B) -3 (C) 4 (D) none of these

The domain of the function f= {(1, 3), (3, 5), (2, 6)} is

Draw the graph of the following quadratic functions. Q. y=-x^(2)+2x+3" "-3lexle5 .

Column I Column II Total number of function f:{1,2,3,4,5}vec{1,2,3,4,5} than are on to and f(i)!= is equal to p. divisible by 11 If x_1, x_2x_3=2xx5xx7^2, then the number of solution set for (x_1, x_2, x_3)w h e r ex_1 in N ,x_1>1 is q. divisible by 7 Number of factors of 3780 are divisible b; either 3 or 2 both is r. divisible by 3 Total number of divisor of n=2^5xx3^4xx5^(10) that are of the form 4lambda+2,lambdageq1 is s. divisible by 4

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

If P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions from P to Q is

A function is defined as f:[a_1, a_2, a_3, a_4, a_5, a_6]vec{b_1, b_2, b_3}dot Column I, Column II Number of subjective functions, p. is divisible by 9 Number of functions in which f(a i)!=b i , q. is divisible by 5 Number of invertible functions, r. is divisible by 4 Number of many be functions, s. is divisible by 3 , t. not possible

If Q is the set of rational numbers, then prove that a function f: Q to Q defined as f(x)=5x-3, x in Q is one -one and onto function.

If A = {1, 2, 3, 4} and B= {1, 2, 3, 4, 5, 6} are two sets and function F: A to B is defined by f(x) = x+2, AA x in A , then prove that the function is one-one and into.

If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to B is defined by f(x)=x+2,AA x in A , then the function f is