Wikkibahi
Dec 5, 2011, 06:07 AM
I attach the following Math Pdf File, Please Open it and solve my Problem as soon as possible.
Thanks a lot for this.
ebaines
Dec 5, 2011, 06:22 AM
Theyt want you to graph f(x) = x - |x| for x in the domain [-3,3].
Start by calculating the value for f(x) for each of several key values of x. For example, at one end of the domain you have x = -3, so determine f(-3):
f(-3) = -3\ -\ |-3| = -6.
(Note that the absolute value of -3 is 3.) Now continue for other key points - I suggest trying x = -1, x=0, x = 1, x=2 and x=3. You should find that the graph is basically a bent line. Post back with what you get and we'll check it for you.
Aurora2000
Dec 5, 2011, 09:00 AM
If they want f(x):=x-|x|, see ebaines's comment.
If they want f(x):=x-[x] (which produces a graph more like "saw tooth"), you should use the definition of [x]: [x]:=\max_{d\in \mathbb{Z}, d\leq x} d. It is also called "integer part" function (this because you simply remove the decimal part for positive numbers - for negative numbers it is a little bit different, for negative integers [] acts like identity, while for negative non integers you remove the decimal part and subtract 1): e.g. [3.554]=3, [1.473]=1, [0,833]=0, [e]=2, etc. but [-3.2]=-4, [-1]=-1, [-e]=-3 etc.
So f(\mathbb{Z})=\{0\}, find the rest.