Functions Question 77
Question: Let the function $ f:R\to R $ be defined by $ f(x)=2x+\sin x,\ x\in R $ . Then f is
[IIT Screening 2002]
Options:
A) One-to-one and onto
B) One-to-one but not onto
C) Onto but not one-to-one
D) Neither one-to-one nor onto
Show Answer
Answer:
Correct Answer: A
Solution:
$ {f}’(x)=2+\cos x>0 $ . So, $ f(x) $ is strictly monotonic increasing so, $ f(x) $ is one-to-one and onto.
BETA
