Which equation matches the graph of the greatest integer function given below?

The equation that matches the graph of the greatest integer function given  is:

             C.)  y=[x]-4

Clearly after looking at the graph of the function we see that:

when x=2 the value of function is: y= -2

Hence, we will check by putting the value of x in each of the following options and check which hold true.

A.)

            y=[x]+2

when x= 2 we have:

Hence, option: A is incorrect.

B.)

               y=[x]-2

when x= 2 we have:

Hence, option: B is incorrect.

D.)

               y=[x]+4

when x= 2 we have:

Hence, option: D is incorrect.

C.)

               y=[x]-4

when x= 2 we have:

Similarly for other value of x it will match.

         Hence, option: C is the correct answer.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)