IB Maths AA HL Sl 2 3 Graphing Functions Topic Practice

The following question explores features of a family of curves. The family is then linked to a homogeneous differential equation.
Consider the curve given by $y=\frac{x\left(x^{2}-16\right)}{x^{2}+16}$.

Sketch the curve of y for $-10 \leq x \leq 10$.