Given y = 4 for all real values of x, Can y be regarded as a function of x ? Give reasons.

Which statements is true for all real values of x and y?

Does the inverse function of the following real valued function of real variable exist ? Give reasons. f(x) = |x|

If f(x)f(y) = f(x) + f(y) + f(xy) -2 for all real values of x and y and f(2) = 5, find f(4) and f(1/4) .

The set of all real values of a so that the range of the function y=(x^(2)+a)/(x+1) is R, is

Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

Consider the equation x+|y|=2y . Which of the following statements are not correct? yas a function of x is not defined for all real x. yas a function of x is not continuous at x=0. yas a function of x is differentiable for all x. Select the correct answer using the code given below.

A function 'f' from a set X to Y is called onto if very y in Y , EE x in X such that f(x) =y . Unless the contrary is specified a real function is onto if it takes all real values ,Othervise ,it is called o into function , Thus , if X and Y are finite sets , then 'f' can not be onto if Y contains more elements then 'x' Now answer the following The function f(x) =( x^(2) + 2x + c)/( x^(2) + 4x+ 3c ) is onto .if

Consider the equation x+|y|=2y Which of the following statements are not correct ? 1. y as a function of x is not defined for all real x. 2. y as a function of x is not continuous at x=0 3. y as a function of x is differentiable for all x. Select the correct answer using the code given below :