Answer:
The equation which matches the graph of the greatest integer function given is:
C)
Step-by-step explanation:
From the graph we may observe that:
when x=0
then the value of the function is: 3
Hence, we will put the value of x in each of the given options and see what holds true.
A)
when x=0 we have:
Hence, option: A is incorrect.
B)
when x=0 we have:
Hence, option: B is incorrect.
D)
when x=0 we have:
Hence, option: D is incorrect.
C)
when x=0 we have:
Similarly all the other values hold for this function.
and the graph of this function matches the given graph.