Mathematics · Application of Derivatives
Let the function f : [-7, 0] → R be continuous on [-7, 0] and differentiable on (-7, 0). If f(-7) = -3 and f'(x) ≤ 2 for all x ∈ (-7, 0), then for all such functions f, f(-1) + f(0) lies in the interval:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1[-3, 11]
- 2(-∞, 11]
- 3(-∞, 20]✓
- 4[-6, 20]
Correct answer
(-∞, 20]
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