Graph of the Function $y = 1/x^2$

$y = \dfrac{1}{x^2}$ is undefined at $x = 0$; its domain is $x \neq 0$ and its range is $y > 0$.

Unlike $\dfrac{1}{x}$, the denominator $x^2$ makes the value always positive and even (symmetric about the $y$-axis). As $x \to 0$ it diverges to $+\infty$ (the $y$-axis is an asymptote), and as $x \to \pm\infty$ it approaches $0$ (the $x$-axis is an asymptote).