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Using the Graph, Determine Any Relative Maxima or Minima of the Function

question 151

Multiple Choice

Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is
increasing or decreasing. Round to three decimal places when necessary.
- f(x) =12x3+12x2x+1f ( x ) = \frac { 1 } { 2 } x ^ { 3 } + \frac { 1 } { 2 } x ^ { 2 } - x + 1
 Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing. Round to three decimal places when necessary. - f ( x )  = \frac { 1 } { 2 } x ^ { 3 } + \frac { 1 } { 2 } x ^ { 2 } - x + 1     A)  relative maximum:  2.056  at  x=-1.215 ; relative minima:  0.684  at  x=0.549  and 1 at  x=0 ; increasing  (-1.215,0.549)  ; decreasing  ( - \infty , - 1.215 )  , ( 0.549 , \infty )   B)  relative maximum:  0.684  at  x=0.549 ; relative minimum:  2.056  at  x=-1.215 ; increasing  (-1.215,0.549)  ; decreasing  ( - \infty , - 1.215 )  , ( 0.549 , \infty )   C)  no relative maxima or minima; increasing  ( \rightarrow \infty , - 1.215 )  , ( 0.549 , \infty )   decreasing  (-1.215,0.549)   D)  relative maximum:  2.056  at x=-1.215 ; relative minimum:  0.684  at  x=0.549 ; increasing  ( \infty , - 1.215 )  , ( 0.549 , \infty )   decreasing  (-1.215,0.549)

Identify which cells lack a nucleus and understand the significance of this characteristic.
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