SOLUTION: what is the range of absolute value x-1 divided by non absolute value x-1?

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Question 502507: what is the range of absolute value x-1 divided by non absolute value x-1?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
For x>0, the numerator and denominator are the same value so the function is equal to 1.
For x<0, the numerator is always > 0 and the denominator has the same magnitude but opposite sign, so the function is equal to -1.
So the range is f(x)=-1 and f(x)=1
The graph is below:
graph%28300%2C300%2C-10%2C10%2C-2%2C2%2Cabs%28x-1%29%2F%28x-1%29%29