Question

How do you graph `abs(6-x)`?

Answer 1

(see below)

Explanation:

For `x<=6`
`color(white)("XXX")abs(6-x)` is the same as `6-x`
`color(white)("XXX")`and we can find a few point by picking arbitrary values of `x <=6`
#color(white)("XXX"){:color(green)((ul(x),color(white)("xx"),ul(6-x)), (6,,0), (3,,3),(0,,6)) :}#

Similarly, for `x >= 6`
`color(white)("XXX")abs(6-x)` is the same as `x-6`
`color(white)("XXX")`and we can find a few point by picking arbitrary values of `x <=6`
#color(white)("XXX"){:color(magenta)((ul(x),color(white)("xx"),ul(x-6)), (6,,0), (9,,3),(12,,6)) :}#

Plot these points and draw a line through them: