Algebra II
posted by Matt on .
I have a question
The range of y = 1/(x5) is All real Numbers
True or False
I think it is false because it should be all real numbers except y shouldn't equal 0. Is that correct or don't I understand itPlease explain if I'm wrong.
Thanks

you are correct,
If you graph it, the graph will approach the xaxis , but will never reach it.
For large positive values of x, the graph will be slightly above the xaxis,
for large negative values of x, the graph will be slightly below the xaxis
if you solve
0 = 1/(x5) and crossmultiply , you get
0 = 1 which of course is a contradiction. Thus our equaiton cannot have a solution, that is, y can never be zero.