Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1020: 62

Answer

See graph, domain $[\frac{23}{4},\infty)$, range $(-\infty,\infty)$
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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 $(-\infty,\infty)$
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