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andrew-mc [135]
4 years ago
15

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

Mathematics
2 answers:
Alex787 [66]4 years ago
4 0
The correct answer is C
aleksandr82 [10.1K]4 years ago
4 0

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.

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