Identify Intervals on Which the Function Is Increasing, Decreasing, or Constant

question 68

Multiple Choice

Identify intervals on which the function is increasing, decreasing, or constant.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 2$$

• A) Increasing: \(( - \infty , 0 )\) and \(( 0.67 , \infty )\); decreasing: \(( 0,0.67 )\)
• B) Increasing: \(( 0,0.67 )\); decreasing: \(( - \infty , 0 )\) and \(( 0.67 , \infty )\)
• C) Increasing: \(( - \infty , - 2 )\) and \(( 2 , \infty )\); decreasing: \(( - 2,2 )\)
• D) Increasing: \(( - \infty , 0 )\) and \(( 0.67 , \infty )\); constant: \(( 0,0.67 )\)

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