Use a Graphing Utility to Graph the Function Over the Indicated

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $$f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 3 x ^ { 2 } + 9 x - 3 ; ( - 5,5 )$$

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

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

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

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