Question

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

Answer 1

the correct answer is C

Answer 2

Answer:

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

               C)      $y=[x]+3$

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)

$y=[x]-3$

when x=0 we have:

$y=[0]-3\\\\i.e.\\\\y=-3\neq 3$

Hence, option: A is incorrect.

B)

$y=[x]+1$

when x=0 we have:

$y=[0]+1\\\\i.e.\\\\y=1\neq 3$

Hence, option: B is incorrect.

D)

$y=[x]-1$

when x=0 we have:

$y=[0]-1\\\\i.e.\\\\y=-1\neq 3$

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.