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How can I find the Domain and Range for y=1/-x -2 And y=-4/x-4 +4

they also ask me to compare these 2 problems with graph of y=1/x

please help me solve these algebra problems.

1 answer

polynomials have a domain of all reals numbers.

rational functions, being the quotient of two polynomials, do also, with the exception of values where the denominator is zero.

So, 1/-x has a domain of all reals except x=0

rational functions with linear denominators always have a range of all reals.

See the graphs at

http://www.wolframalpha.com/input/?i=plot+y%3D1%2F-x-2%2Cy%3D-4%2F%28x-4%29+%2B4+
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