Functions Question 700

Question: Let $ f:R\to R $ be function defined by $ f(x)=sin(2x-3), $ then f is

Options:

A) Injective

B) surjective

C) bijective

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

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