math

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Given variables and a set of results where the results, if graphed, all fall on a continuous line that has one and only one y for every x--can anyone help me come up with the formula that would use these inputs (.4 and .999 through -.999)and produce these results? Note the formula would only approach 1 and would not work if the second variable equal to or > 1 or -1.
0.4 0.999 0.91963140577134100
0.4 0.900 0.87108475929007900
0.4 0.800 0.82732683535398800
0.4 0.700 0.77396327277905700
0.4 0.600 0.70550504633038900
0.4 0.500 0.61608999638638300
0.4 0.400 0.50000000000000000
0.4 0.300 0.35555647891378000
0.4 0.200 0.19485297304232900
0.4 0.100 0.05664077746397240
0.4 0.000 0.00000000000000000
0.4 -0.100 0.05664077746397240
0.4 -0.200 0.19485297304232900
0.4 -0.300 0.35555647891378000
0.4 -0.400 0.50000000000000000
0.4 -0.500 0.61608999638638300
0.4 -0.600 0.70550504633038900
0.4 -0.700 0.77396327277905700
0.4 -0.800 0.82732683535398800
0.4 -0.900 0.87108475929007900
0.4 -0.999 0.91963140577134100

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