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If f(x) is continuous and differentiable in x ∈ [ -7, 0] and f'(x) ≤ 2∈ [-7, 0], also f(-7) = -3 then range of f(-1) + f(0) 
  • a)
    [–5, –7]
  • b)
    (–∞, 6]
  • c)
    (–∞, 20]
  • d)
    [-5, 3]
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If f(x) is continuous and differentiable in x ∈ [ -7, 0] and f(x)...
Lets use LMVT for x ∈ [-7, -1]

Also use LMVT for x ∈ [-7, 0]

∴ f(0) + f(-1) ≤ 20
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If f(x) is continuous and differentiable in x ∈ [ -7, 0] and f(x)...
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If f(x) is continuous and differentiable in x ∈ [ -7, 0] and f(x) ≤ 2∈[-7, 0], also f(-7) = -3 then range of f(-1) + f(0)a)[–5, –7]b)(–∞, 6]c)(–∞, 20]d)[-5, 3]Correct answer is option 'C'. Can you explain this answer?
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