Math Help - graph for x-[x]

1. graph for x-[x]

Sir,

The question I received was draw the graph for x-[x] and find the domain and range.

I drew the graph such that a slanting line below x axis each unit such as -1 to 1, -1 to 2, etc. [in y axis].

The domain is R and range is [-1,0].

I do not know rather I am not sure whether my answer is correct.

kindly enlighten me.

Thanks.

with warm regards,

Aranga

2. Re: graph for x-[x]

Originally Posted by arangu1508
SThe question I received was draw the graph for x-[x] and find the domain and range.
I drew the graph such that a slanting line below x axis each unit such as -1 to 1, -1 to 2, etc. [in y axis]. NO

The domain is R and range is [-1,0]. NO
Here is the graph.

As you can see the range is $[0,1)$. Note that $1\notin [0,1)$.