Question

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

Answer 1

the correct answer is C

Answer 2

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

C)
`y=[x]+3`

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)

`y=[x]-3`

when x=0 we have:

`y=[0]-3\\\\i.e.\\\\y=-3\\eq 3`

Hence, option: A is incorrect.

B)

`y=[x]+1`

when x=0 we have:

`y=[0]+1\\\\i.e.\\\\y=1\\eq 3`

Hence, option: B is incorrect.

D)

`y=[x]-1`

when x=0 we have:

`y=[0]-1\\\\i.e.\\\\y=-1\\eq 3`

Hence, option: D is incorrect.

C)

`y=[x]+3`

when x=0 we have:

`y=[0]+3\\\\i.e.\\\\y=3`

Similarly all the other values hold for this function.

and the graph of this function matches the given graph.