What is the area bounded by the curve f(x) and y=3?
Consider the following for the two (02) items that follow : Let the curve f(x)=|x-3|.
- A. 3 square units
- B. 4.5 square units
- C. 7.5 square units
- D. 9 square units ✓
Correct Answer: D. 9 square units
Explanation
The curve y = |x-3| intersects the line y=3 when |x-3|=3, giving x=0 and x=6. The bounded region is a triangle with base 6 and height 3. Area = \frac{1}{2} \times 6 \times 3 = 9 square units.
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