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  4. The function f: R arrow R given by f(x)=3-2 sin x is

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

Relations and Functions - Part 2

Solution:

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