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Question

If f(x)=x25x+6 is a real-valued function, then

A
f(x)0 when x(,2][3,)
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B
f(x)0 when x[2,)
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C
f(x)<0 when x(,2)
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D
f(x)<0 when x(2,3)
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Solution

The correct options are
A f(x)0 when x(,2][3,)
D f(x)<0 when x(2,3)
f(x)=x25x+6
=(x2)(x3)


By wavy-curve method,
f(x)0 when x(,2][3,)
and f(x)<0 when x(2,3)

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