f(x)=x−[x] where [x] is the greatest integer function and −3≤x≤3 a) sketch f(x) b) state the domain of f(x) c) study the continuity of f(x) on its domain d) state the range of f(x)


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Question Number 158142 by alcohol last updated on 31/Oct/21

$f (x) = x - [x] w h e r e [x] i s t h e g r e a t e s t$ $i n t e g e r f u n c t i o n a n d - 3 ⩽ x ⩽ 3$ $a) s k e t c h f (x)$ $b) s t a t e t h e d o m a i n o f f (x)$ $c) s t u d y t h e c o n t i n u i t y o f f (x) o n i t s d o m a i n$ $d) s t a t e t h e r a n g e o f f (x)$
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