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Draw the graph of the function: |f(x)|=t...

Draw the graph of the function: `|f(x)|=tanx`

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To draw the graph of the function \(|f(x)| = \tan x\), we will follow these steps: ### Step 1: Understand the Function The equation \(|f(x)| = \tan x\) implies that \(f(x)\) can be either \(\tan x\) or \(-\tan x\). The absolute value function means we will only consider the non-negative values of \(\tan x\) for the positive part of the graph and reflect the negative values across the x-axis. ### Step 2: Identify the Domain of \(\tan x\) The function \(\tan x\) is defined for all \(x\) except for odd multiples of \(\frac{\pi}{2}\) (i.e., \(x = \frac{\pi}{2} + n\pi\) where \(n\) is any integer). Thus, the domain of \(|f(x)| = \tan x\) will also exclude these points. ...
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