Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 267: 52

Answer

a. x-intercepts: 0 and 4.5 y-intercept: 0 b. $(0, 0)$ is a local maximum, $(3, -3)$ is a local minimum.

Work Step by Step

a. The graph intersects the x-axis at (0,0) and (4.5,0) (x-intercepts: 0 and 4.5) The graph intersects the y-axis at (0,0). (y-intercept: 0) b. Local maxima/minima are found when there exists a rectangle for which there is one point with greatest/least function values (within that rectangle). (0, 0) is a local maximum, (surrounding points have smaller function values). (3, -3) is a local minimum, (surrounding points have greater function values).
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