Reclassifying Raster Value Classes based on pre-defined function using ArcGIS Spatial Analyst?

Question

I have this distance raster (shown in the image below).

Is it possible to reclassify the distance values based on the description below-

For distance values 0-100 (new value decreases linearly from 10 to 1); For distance values 100-200 (new value=1); For distance values 200-500 (new value increases linearly from 1 to 10); For distance >500 (new value=10)

The graph below shows the function.

Answer 1

The equation to linearly scale 100-0 to 1-10 is:

-0.09x + 10

The equation to linearly scale 200-500 to 1-10 is:

0.03x - 5

You could use nested Con functions in the raster calculator to apply these equations:

Con("distance" <= 100, 
    -0.09 * "distance" + 10,
    Con("distance" < 200,
        1,
        Con("distance" <= 500,
            0.03 * "distance" - 5,
            10
        )
    )
)

Answer 2

Similarly to above, you can reclassify your distance into 4 classes and type this in calculator:

Pick("Reclass",[-0.09,0,0.03,0]) * "Distance"+Pick("Reclass",[10,1,-5,10])