Behind The Curtain

In precalculus there are many functions that are used to graph. Functions utilize different parts of a domain like a piecewise function. A piece-wise function has multiple arrays of function but also different sub-domains. In Desmos activity I  seen the different sub-domains that occurred where the first line I saw was a parabola but when I used the drag feature I saw that x variable change while it showed another line that just went diagonally straight. An example of the function created a function down below:

g(x) = {x + 1 for x<=2}{ 1 for x > 2}