Use a Graphing Utility to Graph the Function and Visually $f ( x ) = - x ^ { 3 } + 3 x + 1$

Multiple Choice

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant. $f ( x ) = - x ^ { 3 } + 3 x + 1$

A)
increasing on $( - \infty , - 1 )$
decreasing on $( - 1,1 )$
increasing on $( 1 , \infty )$
B)
decreasing on $( - \infty , 0 )$
increasing on $( 0 , \infty )$
C)
decreasing on $( - \infty , \infty )$
D)
increasing on $( - \infty , \infty )$
E)
decreasing on $( - \infty , - 1 )$
increasing on $( - 1,1 )$
decreasing on $( 1 , \infty )$