The blue boxes are the Map Range Node the ‘red’ lines are the Input and Output and the green lines represent the Values in the Node; so in the last picture, From Min = 0.9 goes to To Min = 0. The green lines are thus indeed more like arrows (I actuallyshould have drawn them as arrows, that would have been more clear…))
In the second picture, the area between 0.5 and 1 gets mapped to the area 0 to 1. So 0, 5 becomes 0, 0.6 becomes 0.2, 0.7 becomes 0.4, 0.8 becomes 0.6 and 0.9 becomes 0.8. This is why the interpolation is called linear. Another example: in the third Map Range Node, 0.95 (halfway between 0.9 and 1) goes to 0.5 (halfway between 0 and 1).
(I told you it’s not easy to explain.)
In the third Map Range Node, as it is not Clamped, 0.8 will go to -1 and, for instance, 0 will go to -9.