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Let f:R to R where f(x) =sin x. Show tha...

Let `f:R to R` where `f(x) =sin x.` Show that `f ` is into. Also find the codomain if `f` is onto.

Text Solution

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`f:R to R, f(x) =sinx`
Range of the function is `[-1,1],` which is subset of codomain R.
So, `f(x)` is into.
To make `f(x)` onto, we modify the codomain to `[-1,1].`
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