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The output y is derived using the formula:
The function will go through the point (0,y0) and the output will be 0 for u ≥ 1 and y0 for u ≤ 0. The input u should thus be in the range [0,1]. The following graph shows plots for the function for different slopes:
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ConcaveLookupPositive, ConvexLookupNegative, ConvexLookupPositive