Consider the equation x+|y|=2 y . 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.

Step-by-step solution

aligned & x+|y|=2 y & x=2 y-|y| & 2 y-|y|=x & 2 y-y=x & [for y 0 ] & y=x & 2 y+y=x for[y 0] & 3 y=x & y= 1 3 x & y= array cc x & y 0 1 3 x & y 0 array function is defined for all value of x . . & or y = array lll x ; & x 0 1 3 x & ; & x 0 array . aligned by checking y as a function of x is continuous at x=0 , but not differentiable at x=0 . So all of the statements are not correct.