Find the range of `f(x)=|sinx|+|cosx|, x in R`.

Explanation

To find the range of the function \( f(x) = |\sin x| + |\cos x| \) for \( x \in \mathbb{R} \), we can follow these steps:

### Step 1: Understand the function
The function \( f(x) \) is the sum of the absolute values of sine and cosine functions. Since both \( |\sin x| \) and \( |\cos x| \) are always non-negative, we can conclude that:
\[ f(x) \geq 0 \]

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