Question

Write the domain and range of greatest integer function
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Answer 1

• The greatest integer function is defined for all real numbers. Hence, as per its definition, its domain is the set of real numbers. ... Hence, the domain is . The range is, as per the definition, the set of all integers: .

Answer 2

Answer:

The greatest integer function is defined for all real numbers.Hence,as per its defination,its fomain is the set of real numbers.

[x]=n,x€[n,n+1)

where n€Z .The function defined everywhere.Hence the domain is X€R.

The range is,as per the defination,the set of all integers:[x]€Z.There is nothing to prove here.

The function is right-continuous.Discontinuities occure st integral values of x.

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