Question

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

Answer 1

the answer isssssssssssssssss           ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss          c

Answer 2

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

C.) y=[x]-4

Explanation:

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:

`y=[2]+2\\\\y=2+2\\\\y=4\\eq -2`

Hence, option: A is incorrect.

B.)

y=[x]-2

when x= 2 we have:

`y=[2]-2\\\\y=2-2\\\\y=0\\eq -2`

Hence, option: B is incorrect.

D.)

y=[x]+4

when x= 2 we have:

`y=[2]+4\\\\y=2+4\\\\y=6\\eq -2`

Hence, option: D is incorrect.

C.)

y=[x]-4

when x= 2 we have:

`y=[2]-4\\\\y=2-4\\\\y=-2`

Similarly for other value of x it will match.

Hence, option: C is the correct answer.