Question

The function $f:R\to R$ given by $f(x)=3-2\sin x$ is

• A. one-one
• B. onto
• C. bijective
• D. none of these

Answer 1

Answer: (D)

$-1\le \sin x\le 1\Rightarrow 1\le f(x)\le 5\Rightarrow f(x)$ is not onto, $f(x)=f(x+2\pi )\Rightarrow f$ is not one-one and $f$ is not bijective.