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**1. Homework Statement**

I have to find the range of f(x) where:

f(x)=7*floor(x) - floor(7*x)

x is a real number.

Then I have to prove that this set of numbers is correct.

**3. The Attempt at a Solution**

I am still on the range part, and thus am only asking about that part at the moment. It seems to me that the range of f(x) would be (-infinity,+infinity). Is there a reason that it wouldn't be?