You can
put this solution on YOUR website!f(x) = { x - 4,

}
.........{ 2x + 3,

}
.........{ 36,

}
f is defined using three formulas for linear function, so graph all three of them
graph first this linear function:

, for

...........since we have a restriction

, erase the part

the domain is (

,

)
then graph this linear function:

, for

...........since we have a restriction

, erase the part from

to

and the part where

this graph will be a line segment from

to

the domain is (

,

)
then graph this linear function:

, for

this is constant function, so it is define for [

)
the domain is [

)