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Question

# Which of the following equations could represent the above graph?

A
f(x)= (x2)2
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B
f(x)= x24
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C
f(x)= 4x2
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D
f(x)= |x24|
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E
f(x)= |x24|
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Solution

## The correct option is E f(x)=− |x2−4|At x=2,−2 , the value of y should be zero.For x<−2 and 0<x<2 , the value of y should be increasing.For −2<x<0 and x>2 , the value of y should be decreasing.The equation which satisfies these 3 points is our required answer.So, the correct option is E.

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