Question

Which one is the correct answer I need help on this

Answer 1

Given the function below,

$f(x)=x^3+2x^2-5x-6$

Let us now plot the graph in order to obtain the end behaviours.

From the graph above, we can conclude that

$\mathrm{as}\: x\to\: +\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: ,\: \: \mathrm{and\: as}\: x\to\: -\infty\: ,\: f\mleft(x\mright)\to\: -\infty$

Hence, the correct answer is Option D.