Find the domain and range of …
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Harsh Mishra 6 years, 4 months ago
The greatest integer function is <i>defined</i> for all real numbers. Hence, as per its <i>definition</i>, its domain is the set of real numbers.
⌊x⌋=n, x∈[n,n+1)
where n∈Z. The function is defined everywhere. Hence, the domain is x∈R.
The range is, <i>as per the definition</i>, the set of all integers: ⌊x⌋∈Z.
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