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Use a Graphing Utility to Graph the Function and Visually f(x)=2x44x2f ( x ) = 2 x ^ { 4 } - 4 x ^ { 2 }

Question 80

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) =2x44x2f ( x ) = 2 x ^ { 4 } - 4 x ^ { 2 }


A) decreasing on (0,0) ( 0,0 )
increasing on (0,) ( 0 , \infty )
increasing on (,1) ( - \infty , - 1 )

B) decreasing on (1,0) ( - 1,0 )
increasing on (0,1) ( 0,1 )
decreasing on (1,) ( 1 , \infty )
decreasing on (,1) ( - \infty , - 1 )

C) increasing on (1,1) ( - 1,1 )
decreasing on (1,) ( 1 , \infty )
increasing on (,0) ( - \infty , 0 )

D)
decreasing on (0,) ( 0 , \infty )
decreasing on (,1) ( - \infty , - 1 )
increasing on (1,0) ( - 1,0 )

E)
decreasing on (0,1) ( 0,1 )
increasing on (1,) ( 1 , \infty )

Correct Answer:

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