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Find the area enclosed by the graphs of y = |x - 1| and y = 3 - |x|.

1. 3 square units
2. 2 square units
3. 4 square units
4. 5 square units

Correct answer: 4 square units

Solution

The curves y=|x-1| and y=3-|x| enclose a region; integrating (3-|x|)-|x-1| over where it is positive (from x=-1 to x=2) gives total area 4 square units.

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