C-Programming
October 17, 2024Functions
October 18, 2024Problem-Solving
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Question 3
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Consider a degree-5 polynomial function f : (−∞,∞) → (−∞,∞). If f exhibits at least four local maxima, which of the following is necessarily true? (Note : A local
maximum is a point where the function value is the maximum in a sufficiently small neighbourhood.)
maximum is a point where the function value is the maximum in a sufficiently small neighbourhood.)
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f(x) > 0, x ∈ (−∞,∞)
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f(50) < 0
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The seventh derivative of f(x) is negative for some x ∈ [0, 100]
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f has exactly 4 local maxima
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None of the above
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Correct Answer: D