Which of the following functions are graphed below

The equation of given graph is f(x)=[x]-6

C is correct

Step-by-step explanation:

We are given a graph and to find the equation of graph.

It is a graph of greatest integer function or floor function.

Parent function of greatest integer function:

For x = 0 to x= 1 , f(x)=0

For x =1 to x=2 , f(x)=1

We are given a function,

For x = 0 to x= 1 , f(x)=-6

For x = 1 to x= 2, f(x) = -5

If we shift 6 unit down the parent function. We will get original function.

Hence, The equation of given graph is f(x)=[x]-6

except a rational number. : )