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How can I modify the interval of the function Image[]?

I think the default interval is [0,1]. when I have all positives I find it easy to rescale but when I included negative values it doesn't give me the results that I expect. for example how can I ...
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L1-Norm Minimization

I need the function for the L1-Norm Minimization problem formulated here https://reference.wolfram.com/language/tutorial/ConstrainedOptimizationLinearProgramming.html#261990371 ...