Step Function

• Sep 14th 2006, 02:37 PM
wpcp15
Step Function
I missed a day in class, and I dont understand step function. Could somebody explain it to me.

Here is one of my problems

graph the function f(x)=[[x+3]], tell its domain and range
• Sep 14th 2006, 02:44 PM
dnlstffrd
a step function (also known as the greatest integer function) is a function in which any value, be it an integer or something in between, moves to the greatest integer NOT GREATER than the value itself, i.e. if you have 1.9, it would move to 1, if you have -1.3, it would move to -2. So, in your equation, f(x)=[[x+3]] it is going to look like a stairway with each x value corresponding to an integer of y, and your steps are going to be moved up by 3. So the domain will be all real numbers, and the range will be all real integers.
• Sep 14th 2006, 02:47 PM
wpcp15
Thanks
but what would you do if it is g(x)=[[x]]+3
• Sep 14th 2006, 03:04 PM
Plato
The answer is exactly the same as you have been given.
The domain is the set of real numbers; the range is the set of integers.
• Sep 14th 2006, 03:11 PM
wpcp15
but how would you graph it
Don't you have to make a table of values?
• Sep 14th 2006, 05:00 PM
ThePerfectHacker
Quote:

Originally Posted by wpcp15
but how would you graph it
Don't you have to make a table of values?

It is ugly looking.
f(x)=[x]+3