Find the absolute maximum and minimum of the following function on the indicated interval. f (x) = x³ + 3x² – 45x, 0 < x < 4 abs. max. at (0,0), abs. min. at (3, -81) O abs. max at (0,0), abs. min. at (4, -68) O abs. max at (-5, 175), abs. min. at (3, -81) O abs. max at (-5, 175), abs. min. at (4, -60) abs. max at (4, 27), abs. min at (0, -45)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 53PS
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Find the absolute maximum and minimum of the following function on
the indicated interval.
f (x) = x³ + 3x² – 45x, 0 < x < 4
abs. max. at (0,0), abs. min. at (3, -81)
O abs. max at (0,0), abs. min. at (4, -68)
O abs. max at (-5, 175), abs. min. at (3, -81)
O abs. max at (-5, 175), abs. min. at (4, -60)
abs. max at (4, 27), abs. min at (0, -45)
Transcribed Image Text:Find the absolute maximum and minimum of the following function on the indicated interval. f (x) = x³ + 3x² – 45x, 0 < x < 4 abs. max. at (0,0), abs. min. at (3, -81) O abs. max at (0,0), abs. min. at (4, -68) O abs. max at (-5, 175), abs. min. at (3, -81) O abs. max at (-5, 175), abs. min. at (4, -60) abs. max at (4, 27), abs. min at (0, -45)
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