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Consider the function given by $f(x) =\mid x-1\mid-x$

What is the area of the triangle bounded by the graph of the given function with the coordinate axis given by $x=0\:\text{and}\:y=0$?

1. $2$
2. $\large\frac{1}{4}$
3. $\large\frac{1}{2}$
4. $1$

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