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  • What is the range of function f(x) = 2sin(x) ?Option: 1 <b

What is the range of function f(x) = 2sin(x) ?

Option: 1

[-2,2]


Option: 2

(-2,2)


Option: 3

[-2,2]-\left\{0\right\}


Option: 4

\mathbb{R}


Answers (1)

best_answer

As we have learnt in

Sine Function 

y = f(x) = sin(x)

Domain is R, Range is  [-1, 1]

 

Now,

\\\mathrm{The\:range\:of\:the\:basic}\:\sin \mathrm{function\:is}\:-1\le \sin \left(x\right)\le \:1\\\mathrm{Multiply\:the\:edges\:of\:the\:range\:by:}\:2\\-2\le \:2\sin \left(x\right)\le \:2\\\mathrm{Therefore\:the\:range\:is}\\-2\le \:f\left(x\right)\le \:2

Posted by

shivangi.bhatnagar

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