What is an example analytic expression for a function whose plot qualitatively looks as follows?

Question

What is an example analytic expression for a function whose plot qualitatively looks as follows?

Here, I mean that the function asymptotes to $y=0$ for $x\to -\infty$ and $x\to +\infty$.

Answer 1

The function is odd. it has two extremas. it has two inflection points. It could be defined by

$$f(x)=\frac{x}{1+x^2}$$