If A = {p,q,r, s} and B = {1, 2, 3} , find which of the following is not a function from A to B?
The function f(x)={{:( 1, x in Q),(0, x notin Q):} , is
Draw the graph of the following quadratic functions. Q. y=-x^(2)+2x+3" "-3lexle5 .
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 P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions from P to Q is
Let f(x) be a twice differentiable function for all real values of x and satisfies f(1)=1,f(2)=4,f(3)=9. Then which of the following is definitely true? (a) f^('')=2AAx in (1,3) (b) f^('')=f(x)=5forsom ex in (2,3) (c) f^('')=3AAx in (2,3) (d) f^('')=2forsom ex in (1,3)
If A = {p,q,r, s} and B = {1, 2, 3} , find which of the following is not a function from A to B R 1={(p,1),(q,2),(r,1),(s,2)}
Prove that the function f: Q->Q given by f(x)=2x-3 for all x in Q is a bijection.
If A = {p,q,r, s} and B = {1, 2, 3} , find which of the following is not a function from A to B? (i) R1={(p,1),(q,2),(r,1),(s,2)} (ii) R2={(p,1),(q,1),(r,1),(s,1)}
If A = {p,q,r, s} and B = {1, 2, 3} , find which of the following is not a function from A to B? i. R 1 ={(p,1),(p,2),(r,1),(s,2)} ii.R 2 ={(p,1),(q,2),(r,2),(r,3)}
