Graph the piecewise function f(x)={x+5 if x≤−2

2x+3 if x>−2. Will the graph have any open endpoints? If yes, where?

Yes, the graph will have an open endpoint at x = -2. This is because the piecewise function defines one value for x ≤ -2 (-2 inclusive) and another value for x > -2. Therefore, the graph will have a gap or open endpoint at x = -2 where the function changes.