y=x∣x∣=x2 for x≥0 (above x-axis) and y=−x2 for x<0 (below x-axis).
So the curve is in the third quadrant for x<0 and first quadrant for x>0, passing through the origin.
The graph showing this odd-function shape with shading between x=−1 and x=1 matches option 3.
CUET UG 2022 — Mathematics Calculus
2022mcqeasy
The region bounded by curve y=x∣x∣, x-axis and lines x=±1 is best represented graphically by :
Official previous-year question
Held on 7 Aug 2022 · Verified 13 Jul 2026.
Options
- A
- B
- C
- D
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