Help with this Calculus problem
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Help with this Calculus problem

[From: ] [author: ] [Date: 11-10-05] [Hit: ]
etc.Hoping this helps!......
I was sick recently and had to miss school. My Calculus teacher gave me a worksheet to practice for our next quiz, but I wasn't there when we learned the material so I don't know how to do some of these. Can anybody answer this problem?:

The range of g(x) = [[x/2]] is:
-All odd integers
-All real numbers
-All even integers
-All integers
-All negative numbers

Thanks! Please show your process so I can see how to do this type of problem on the quiz Friday.

-
The range is all integers.

g(x) is a composite of x/2 and [[x]].

X/2 can be any real number as when you graph y= x/2 ( a line) ; so there is no restriction there.

Then [[x]] rounds to the left, so will always be an integer.

ex: [[-3.2]]=-4

So [[-6.4/2]]= [[-3.2]]= -4

If you graph g(x), the steps will be two units wide, but will hit every integer.

Between 0 and 2, it will round to 1. Then it will jump up to 2 for x between 2 and 4, etc.

Hoping this helps!
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