Function - Main Features?

Question

I understand how to draw this function, but what does it mean by main features? any examples for the question below?

Consider the function $f : \mathbb{R} \rightarrow \mathbb{R}$ given by $f(x) = x^2e^{-x}$.
Indicate and explain the main features?

Thanks.

Answer 1

Main features: intercepts, critical points, inflections, asymptotes, concave up/down, increasing/decreasing, symmetry.