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Consider the curves $\mathrm{y}=|\mathrm{x}-1|$ and $|\mathrm{x}|=2$
What is/are the point(s) of intersection of the curves?
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What is/are the point(s) of intersection of the curves?
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The correct answer is:
$(-2,3)$ and $(2,1)$
$y=|x-1|$ and $|x|=2$
$y=\left\{\begin{array}{ll}x-1 & x \geq 1 \\ 1-x & x < 1\end{array}\right.$
and $x=2$ $x=-2$
Hence curves intersect at $(-2,3)$ and $(2,1)$.
$y=\left\{\begin{array}{ll}x-1 & x \geq 1 \\ 1-x & x < 1\end{array}\right.$
and $x=2$ $x=-2$
Hence curves intersect at $(-2,3)$ and $(2,1)$.
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