Answer
See graph, domain $[\frac{23}{4},\infty)$, range $(-\infty,\infty)$
Work Step by Step
Step 1. Given the parametric equations $x=t^2-t+6, y=3t$, we can graph the plane curve as shown in the figure.
Step 2. We can find the vertex at $(\frac{23}{4},\frac{3}{2})$ and determine the domain as $[\frac{23}{4},\infty)$, the range as $(-\infty,\infty)$
