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QJEEAdv04Ma90d2: JEE Advanced 2004 Mathematics - Class 12 JEEAdv04Ma90d2 Solution: If and then in

If

f\left( x \right) = {x^3} + b{x^2} + cx + d

and

0 &lt; {b^2} &lt; c,

then in

\left( { - \infty ,\infty } \right)

Multiple Choice Options

A $f\left( x \right)$ is a strictly increasing function
B $f\left( x \right)$ has a local maxima
C $f\left( x \right)$ is a strictly decreasing function
D $f\left( x \right)$ is bounded

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