Answer: The answer is the second graph, attached herewith.
Step-by-step explanation: The given greatest integer function is
[tex]g(x)=[x+3].[/tex]
We are to select the correct graph of the above function from the given four optional graphs.
We have
[tex]g(x)=3,~\textup{for }0\leq x<1,[/tex]
[tex]g(x)=4,~\textup{for }1\leq x<2,[/tex]
[tex]g(x)=5,~\textup{for }2\leq x<3,[/tex] etc.
These points are satisfied by the second graph only, so this will be the correct one.
Thus, the second graph is the correct option and its image is attached.
