The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of construction workers employed in a certain state. Find the location of all local extrema. Select the correct answer below and, if necessary, fill in any answer boxes) within your answer. • A. The function has local maximums (has a local maximum) at approximately × = , and has local minimums (has a local minimum) at approximately ×= (Round to the nearest tenth as needed. Use a comma to separate answers as needed.) O B. The function has no local minimums, and has local maximums (has a local maximum) at approximately × = (Round to the nearest tenth as needed. Use a comma to separate answers as needed.) O C. The function has no local maximums, and has local minimums (has a local minimum) at approximately x= (Round to the nearest tenth as needed. Use a comma to separate answers as needed. O D. The function has no local extremum.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of construction workers employed in a certain state. Find the location of all local extrema.

Select the correct answer below and, if necessary, fill in any answer boxes) within your answer.

• A. The function has local maximums (has a local maximum) at approximately × = , and has local minimums (has a local minimum) at approximately ×=

(Round to the nearest tenth as needed. Use a comma to separate answers as needed.)

O B. The function has no local minimums, and has local maximums (has a local maximum) at approximately × =

(Round to the nearest tenth as needed. Use a comma to separate answers as needed.)

O C. The function has no local maximums, and has local minimums (has a local minimum) at approximately x=

(Round to the nearest tenth as needed. Use a comma to separate answers as needed.

O D. The function has no local extremum.

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