Let f : R → R be defined by f(x)= |x|-1 |x|+1 then f is:

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

1. both one - one and onto
2. one - one but not onto
3. onto but not one - one
4. neither one - one nor onto.

Answer

(D) neither one - one nor onto.

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• Let [ x ] denote the greatest integer less than or equal to x . Then the domain of f ( x ) = sec –1 (2[ x ] +…
• The number of values of x , where the function f(x)= x+ ( 2 x) attains its maximum, is
• If x 2 – 1 2 – x – 2 > 0, then x lies in the interval set
• The domain of the function f (x) = l og e (x – [x]), where [.] denotes the greatest integer function, is
• Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the…
• The number of real solutions of the equation 1 + |e x - 1| = e x (e x - 2) is :
• The domain of sin –1 [ _ 3 ( x 3 ) ] is
• If f(x+y)=f(x)+f(y)-x y-1 for all x, y E and f(1)=1 , then the number of solutions of f(n)=n_ 1 n N is

More Sets, Relations and Functions questions · Browse all practice questions