Determine the Maximum Number of Turning Points of F $$f ( x ) = ( x - 3 ) ^ { 2 } ( x + 5 ) ^ { 2 }$$

question 67

Multiple Choice

Determine the maximum number of turning points of f.
- $$f ( x ) = ( x - 3 ) ^ { 2 } ( x + 5 ) ^ { 2 }$$

• A) above the \(x\)-axis: \(( - \infty , - 5 ) , ( 3 , \infty )\)
• below the x-axis: \(( - 5,3 )\)
• B) above the x-axis: \(( - 5,3 )\)
• below the \(x\)-axis: \(( - \infty , - 5 ) , ( 3 , \infty )\)
• C) above the \(x\)-axis: \(( - \infty , - 5 ) , ( - 5,3 ) , ( 3 , \infty )\)
• below the \(x\)-axis: no intervals
• D) above the \(x\)-axis: no intervals
• below the \(x\)-axis: \(( - \infty , - 5 ) , ( - 5,3 ) , ( 3 , \infty )\)

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