Question

If the absolute maximum value of the function $f(x)=\left(x^2-2 x+7\right) e^{\left(4 x^3-12 x^2-180 x+31\right)}$ in the interval [-3,0] is $f(\alpha)$, then:

• A. $\alpha=0$
• B. $\alpha=-3$
• C. $\alpha \in(-1,0)$
• D. $\alpha \in(-3,-1)$

Answer 1

Answer: (B)

$\alpha=-3$

Answer 2

The correct option is(B): $\alpha=-3$.