Define Greatest integer function. Also write its graph. Domain and range of the function.

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Solution

Greatest integer function is defined as the largest integer less than or equal to $x$ .

It is represented by $[x]$ read as step $^{'} x^{'}$

It is defined for all $x$

$∴ d o m a i n = (- \infty, \infty)$

Range is all integers

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