Let 𝑓(𝑥) = 𝑥3 − 3𝑥2 + 2 be a function defined on (−1, 3]. Which of the…

GATE · 2026 · DA · Data Science & AI

1. A.

   𝑓(𝑥) has exactly two roots in [−0.9,0].

2. B.

   𝑓(𝑥) has a minimum at 2 only.

3. C.

   𝑓(𝑥) has maximum at 0 only.

4. D.

   𝑓(𝑥) has a root at 1.

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