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Question 1
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A real valued function f is defined as $f(x)=\begin{cases}{-1} & {-2\leq x\leq0} \\ {x-1} & {0\leq x\leq2}\end{cases}$.
Which of the following statement is FALSE?
A.
$$f(|x|)=|x|-1,\, if\, 0\leq x\leq$$
B.
$$f(|x|)=x-1,\, if\, 1\leq x\leq2$$
C.
$$f(|x|)+|f(x)|=1,\, if\, 0\leq x\leq1$$
D.
$$f(|x|)-|f(x)|=1,\, if\, 1\leq x\leq2$$
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