1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f: R arrow R be function defined by f(x) = sin (2x -3), then f is

Q. Let f : R R be function defined by f(x) = sin (2x -3), then f is

 2881  252 Relations and Functions - Part 2 Report Error

Solution:

Since sin (2x - 3) is a periodic function with period , therefore f is not injective. Also, f is not surjective as its range [-1, 1] is a proper subset of its co-domain R.