Use a Graphing Utility to Graph the Function and Visually $f ( x ) = 2 x ^ { 4 } - 4 x ^ { 2 }$

question 13

Multiple Choice

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant.
$f ( x ) = 2 x ^ { 4 } - 4 x ^ { 2 }$

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

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Definitions:

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