Consider a function whose graph is a curved line segment passing through the points $(-5, -4)$, $(0, -3)$, and $(1, 2)$. To find its domain, observe all the $x$-values that correspond to a point on the graph; the curve spans horizontally from $-5$ to $1$, so the domain is written in interval notation as $[-5, 1]$. To find its range, examine all the $y$-values associated with the graph; the curve spans vertically from its lowest point at $-4$ to its highest point at $2$, making the range $[-4, 2]$.