Let `A={x in R :-1lt=xlt=1}=B` and `C={x in R : xgeq0}` and let `S={(x ,\ y) in AxxB : x^2+y^2=1}` and `S_0={(x ,\ y) in AxxC : x^2+y^2=1}dot` Then `S` defines a function from `A` to `B` (b) `S_0` defines a function from `A` to `C` (c) `S_0` defines a function from `A` to `B` (d) `S` defines a function from `A` to `C`

Let A={x=0lexle2} and B={1} . Give an example of a function from A to B. Can you define a function from B and A which is onto? Give reasons for your answer.

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

Let f be a function defined on [0,2]. Then find the domain of function g(x)=f(9x^2-1)

The function f: C -> C defined by f(x) = (ax+b)/(cx+d) for x in C where bd != 0 reduces to a constant function if

If A={1,2,3,4} . Prove that f defined by f={(x,y) , x+y=5} is function from A to A

If A={x : x in R, (-pi)/(2) le x le (pi)/(2)}, B={y : y in R, -1 le y le 1} , then show that the function f: A to B defined as f(x)=sin x , x in A is one-one onto function.

Let A = {1, 2, 3}, B = {a, b, c}, C {a_(1), b_(1), c_(1), d_(1), e_(1)} and consider the following statements. S_(1) : The number of one-one functions from A to C is 60. S_(2) : The number of onto functions from C to A is 150 S_(3) : The number of onto functions from B to C is 0 S_(4) : The number of objective functions from A to B is 6 Which of the following combination is true ?

A function f : R rarr defined by f(x) = x^(2) . Determine {y : f(y) = - 1}

Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x+1}.