CAT 2004 | Question: 51

Question

Let $f(x) = ax^2 - b |x|$, where $a$ and $b$ are constants. Then at $x=0, f(x)$ is, 

• A. maximized whenever $a>0, b>0$
• B. maximized whenever $a>0, b<0$
• C. minimized whenever $a>0, b>0$
• D. minimized whenever $a>0, b<0$