Where is the graph of f of x is equal to 4 lfloor x minus 3 rfloor plus 2 discontinuous?

The floor function ⌊x − 3⌋ changes value when x − 3 is an integer. That happens when x is an integer, since adding 3 to an integer still gives an integer. Multiplying by 4 and adding 2 changes the output values but not where the jumps occur, so the graph is discontinuous at all integers.

AI-written and checked against the verified answer.