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If x in [1,2] , then find the range of f...

If `x in [1,2]` , then find the range of `f(x)=tanx`

Text Solution

Verified by Experts

The correct Answer is:
`(-oo,tan 2] cup [tan 1,oo)`
`f(x)=tanx,x in [1,2]`
Here, the limited values of x are given.
The best way to get the range of `tan x` for such values of x is graphical one.
Consider the graph of `f(x)=tanx " for " x in[1,2]`.
Clearly, from the graph, `tan in (-oo,tan 2] cup [tan 1, oo)`.
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