Let \( A=\{-1,0,1,2\}, \mathbf{B}=\{-4,-2,0,2\} \) and \( f, g: A \...

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Let \( A=\{-1,0,1,2\}, \mathbf{B}=\{-4,-2,0,2\} \) and \( f, g: A \rightarrow B \) be functions defined by \( f(x)=x^{2}-x, x \in A \) and \( g(x)= \) \( 2\left|x-\frac{1}{2}\right|-1, \quad x \in A \). Are \( f \) and \( g \) equal ? Justify your answer.
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