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MioMath 2024 Paper 2 · Q17

Paper 2Logic & proofFunctions & graphs

Given the function f(x)=ax+bx2f(x)=\dfrac{a}{x}+bx^2, determine which of the following conditions are true if f(x)f(x) has a local minimum and a positive root.

Aa>0,b>0a>0,b>0
Ba>0,b<0a>0,b<0
Ca<0,b>0a<0,b>0
Da<0,b<0a<0,b<0

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