C-Programming
October 17, 2024Functions
October 18, 2024Problem-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.)
maximum is a point where the function value is the maximum in a sufficiently small neighbourhood.)
| f(x) > 0, x ∈ (−∞,∞) | |
| f(50) < 0 | |
| The seventh derivative of f(x) is negative for some x ∈ [0, 100] | |
| f has exactly 4 local maxima | |
| None of the above |
Correct Answer: D