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Use a Graphing Utility to Graph the Function Over the Indicated

Question 241

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. If necessary, round answers to two decimal places.
- f(x) =x4−5x3+3x2+9x−3;(−5,5) f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 3 x ^ { 2 } + 9 x - 3 ; ( - 5,5 )


A) local minimum at (−0.57,−6.12) ( - 0.57 , - 6.12 )
local maximum at (1.32,5.64) ( 1.32,5.64 )
local minimum at (3,−3) ( 3 , - 3 )

B) local minimum at (−1,−6) ( - 1 , - 6 )
local maximum at (1,6) ( 1,6 )
local minimum at (3,−3) ( 3 , - 3 )

C) local minimum at (−0.61,−5.64) ( - 0.61 , - 5.64 )
local maximum at (1.41,6.12) ( 1.41,6.12 )
local minimum at (3,−3) ( 3 , - 3 )

D) local minimum at (−3,−3) ( - 3 , - 3 )
local maximum at (−1.32,5.64) ( - 1.32,5.64 )
local minimum at (0.57,−6.12) ( 0.57 , - 6.12 )

Correct Answer:

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