Draw the graph of $y = | x | + 2.$

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Solution

$y = | x | + 2 \Rightarrow y = x + 2 [| x | = x] I f x = 0, t h e n y = 0 + 2 = 2 I f x = 1, t h e n y = 1 + 2 = 3 I f x = 2, t h e n y = 2 + 2 = 4 \begin{matrix} x & 0 & 1 & 2 y & 2 & 3 & 4 \end{matrix}$

Now plot the points (0, 2), (1, 3) and (2, 4) on the graph and join them to get a line.

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