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Q.

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Which of the following options identify the above graph?

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a

Modulus function

b

Greatest integer function

c

Signum function

d

None of these

answer is B.

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Detailed Solution

Greatest Integer Function: The function f:RR

defined by f(x)=[x],xR assumes the value of the greatest integer, less than or equal to x. Such a function is called the greatest integer function. From the definition of [x], we can see that

[x]=1 for 1x<0[x]=0 for 0x<1[x]=1 for 1x<2[x]=2 for 2x<3 and so on. 

The graph of the function is given in the question.

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Which of the following options identify the above graph?