Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ + 381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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Employment. According to the U.S. Bureau of Labor
Statistics, the number of professional services employees
fluctuated during the period 2000-2009, as modeled by
E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87,
where t is the number of years since 2000 (t = 0
corresponds to 2000) and E is thousands of employees.
(Source: www.data.bls.gov.) Find the relative extrema
of this function, and sketch the graph. Interpret the
meaning of the relative extrema.
Transcribed Image Text:Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.
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