Consider the curves y = x² and y = 2|x|. How many points of intersection do these curves have?
A.4
B.3✓ Correct
C.2
D.None
Explanation
For x ≥ 0: x² = 2x ⟹ x(x-2) = 0, giving x = 0 and x = 2. For x < 0: x² = -2x ⟹ x(x+2) = 0, giving x = 0 and x = -2 (only x = -2 valid). Total intersection points: (0,0), (2,4), (-2,4) — three points.
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