College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.3 - Properties of Function - 3.3 Assess Your Understanding - Page 233: 51

Answer

$f$ has local maximum of $4$ at $x=3$ local minimum of $1$ at $x=1$ absolute maximum of $4$ at $x=3$ absolute minimum of $1$ at $x=1$

Work Step by Step

See image A local maximum at x=c exists if there is an interval around c such that f(c) is the largest function value on that interval. A local minimum at x=c exists if there is an interval around c such that f(c) is the lowest function value on that interval. Absolute maximum, if one exists, is the highest value f(x) can have on its domain. Absolute minimum, if one exists, is the lowest value f(x) can have on its domain.
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