College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 303: 54

Answer

(a) $x$-intercepts: $0$ and $4$ $y$-intercept: $0$ (b) relative minimum: $(3, -3)$

Work Step by Step

(a) The $x$-intercepts can be found by looking at the points where the graph touches/crosses the $x$-axis. The graph shows that the $x$-intercepts are at $(0, 0)$ and $(4, 0)$. Thus, the $x$-intercepts are: $0$ and $4$. The graph crosses the $y$-axis at $(0, 0)$. Thus, the $y$-intercept is $0$. (b) The graph has a relative minimum at $(3, -3)$
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