No -- all you have to do is graph the function on your calculator, then examine the point at #x=-3#, which is #(-3,0)#.
Note that if the limit were, say, #lim_(wrarr2)(w^2-4)/(w-2)#, you would evaluate this as #lim_(wrarr2)(w+2)=4#. When graphically supporting this, you would see that the function approaches the point #(2,4)# from both sides, even though the function is undefined at #w=2#.
And, yes, even though this is a function #f(y)#, it would be input in your calculator with all #x# variables. A function can have any variable, but #x# for the horizontal (input) axis and #y# for the vertical (output) axis are standard.