all real numbers
all real numbers except 0
all positive numbers
all negative numbers
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If it's asking for domain, all real numbers except for zero.
For range, also all real numbers except for zero.
So now that you've told her the answer it could be a good idea to explain why, then next time she can figure it out alone and take less time than this takes.
(1/x) can take nonzero number.
To make this very negative, simply put in a very close-to-zero but negative x.
To make it very positive, simply put in a very close-to-zero but positive x.
To make it near zero, simply put in a very positive or very negative x.
But no matter what x you put in, you will never get zero. There are asymptotes at both x = 0 and y = 0.|dw:1354227575994:dw|