Graph of the Quartic Function $y = x^4$

$y = x^4$ is an even function, symmetric about the $y$-axis, with range $y \geq 0$.

It resembles the parabola $y = x^2$, but for $|x| < 1$ we have $x^4 < x^2$, so it is flatter near the origin, while for $|x| > 1$ it grows even faster.