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

question 94

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 \(( 1 , \infty )\)

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