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MMLU-Pro / 7737 / If f (x) = x^3 + 2x^2 – 9x – 18, which of the following statements is true?

Problem

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question

If f (x) = x^3 + 2x^2 – 9x – 18, which of the following statements is true?

category

math

options

  1. The function f (x) is decreasing for x ≥ 3.
  2. f (x) = 0 has two real solutions.
  3. f (x) ≥ –18 for all x ≥ 0.
  4. The function f (x) is increasing for x ≥ –3.
  5. The function f (x) is decreasing for x ≤ –3.
  6. f (x) = 0 has three real solutions.
  7. f (x) ≤ –18 for all x ≤ 0.
  8. f (x) > –18 for all x < 0.
  9. f (x) ≤ 0 for all x ≤ –3.
  10. f (x) = 0 has no real solutions.

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
7737
task_id
1585910f-0544-5283-b2f5-b0f28f6e1f71
task_key
default--test--7737
task_revision_id
1
config / split
default / test

Official source

initial import