2024 GESS PRELIMS P1 Q4
2024 GESS PRELIMS P1 Q4
5 marks
A curve has the equation \(y = x^3 + kx^2 + kx + 8\). Find the set of values of \(k\) such that
- the curve is an increasing function,[3]
- the curve has exactly \(1\) stationary point.[2]
Solution:
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Answer:(a) \(0\le k\le3\) (b) \(k = 0\) or \(k = 3\)
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