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Let f(x)=f(1)(x)-2f(2)(x), where where...

Let `f(x)=f_(1)(x)-2f_(2)(x),` where
where `f(x)={(min{x^(2)","|x|}",",|x| le 1),(max{x^(2)","|x|}",",|x| gt 1):}`
and `f_(2)(x)={(min{x^(2)","|x|}",",|x| gt 1),(max{x^(2)","|x|}",",|x| le 1):}`
and let `g(x)={(min{f(t):-3 le t le x", "-3 le x lt 0}),(max{f(t): 0le t le x", " 0 le x le 3}):}`
For `-3 le x le -1,` the range of g(x) is

A

1 point

B

2 points

C

3 points

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

Obviously, the graph is broiken at `x=0`.
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