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Problem Solving (PS) | Re: Given f(x) = a|x| − bx^2, where a and b are constants. Then at x = 0,

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chetan2u wrote:

CaptainLevi wrote:
Given f(x) =\( a|x| −bx^2\) , where a and b are constants. Then at x = 0, f (x) is

a) maximized whenever a > 0, b > 0.
b) minimized whenever a > 0, b > 0.
c) minimized whenever a < 0, b > 0.
d) maximized whenever a < 0, b > 0.
e) minimized whenever a < 0 , b <0.


This can be done in twoways..

(I)Parabola..
f(x) =\( a|x| −bx^2\)
Since we have a NEGATIVE coefficient of x^2, the parabola will open downwards and the value of y will be at the vertex, that
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