Determine the area of the region bounded by y = |x - 1| and y = 1.
Determine the area of the region bounded by y = |x - 1| and y = 1.
- A. 1/2 square units
- B. 2 square units
- C. 1 square unit
- D. 4 square units
Answer: C) 1 square unit
Explanation: The region is a triangle with vertices at (0,1), (2,1), and the tip of the modulus function at (1,0). The base is on y=1 from x=0 to 2 (length 2), and height is 1. Area = 1/2 × 2 × 1 = 1.
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