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Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsTypes of Function (Mapping)Medium2 minPYQ_2004

MathematicsMediumsingle choice

If $f : R \to S$ , defined by $f (x) = sin x - 3 cos x + 1$ , is onto, then the interval of $S$ is

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Solution:

$- 2 \leq sin x - 3 cos x \leq 2 \Rightarrow - 1 \leq sin x - 3 cos x + 1 \leq 3$ $\Rightarrow$ range of $f (x)$ is $[- 1, 3]$ . Hence $S$ is $[- 1, 3]$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

⏱ 2mℹ️ Source: PYQ_2004

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