I need some help with the following problem. Find the maximum value of the function $f(x)=|3x^2+2ax-1|$ for $x\in[-1,1]$ if $-2 \leq a \leq 2$.
Maximum value of a function
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analysis
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0I think we should consider the function as two variables function $f(x,a)$ defined on a rectangular as you noted and then search for its maximum regarding to this region. – 2012-11-28
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0There must be a simple approach. Isn't the maximum value obtained when the distance between the roots of the function $g(x)=3x^2+2ax-1$ is greatest? – 2012-11-28
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0Honestly, I have not seen or noted such this claim (or fact) before. – 2012-11-28