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C-Programming
October 17, 2024
Functions
October 18, 2024
C-Programming
October 17, 2024
Functions
October 18, 2024

Problem-Solving

Question 3
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.)
A
f(x) > 0, x ∈ (−∞,∞)
B
f(50) < 0
C
The seventh derivative of f(x) is negative for some x ∈ [0, 100]
D
f has exactly 4 local maxima
E
None of the above
Correct Answer: D

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