Let the curve f(x) = |x − 3|. What is the area bounded by the curve f(x) and y = 3?

f(x) = |x − 3| equals 3 when x − 3 = ±3, i.e., x = 0 or x = 6. The region bounded between the V-shaped curve and the horizontal line y = 3 forms a triangle with vertices (0, 3), (6, 3), and (3, 0). Base = 6, height = 3, so area = (1/2)(6)(3) = 9 square units.