what's the domain and range of y = -2/x?
is the domain and range of a reciprocal function always (- infinity, 0) (-infinity,infinity)?

Question

what's the domain and range of y = -2/x?
is the domain and range of a reciprocal function always (- infinity, 0)  (-infinity,infinity)?

e.mccormick · Answer

The domain can not make the fraction invalid.  so if it is just over x, $x^2$ or something lke thatm then the domain will avoid 0, but whjat about $\frac{1}{x+2}$? The problem 0 there is at x=2.

e.mccormick · Answer

Oops.  Lissed a - in my excample.

e.mccormick · Answer

And the range is what are the valid outputs of the function.  In this casem how would it ever be equal to 0?  So the range also avoids 0 in this situation.

e.mccormick · Answer

Here is a graph to help you visualize this.  Remember, valid x values are the domain and valid y values are the range.  What you put above, Domain $= (- \infty, 0)$ Range $= (-\infty,\infty)$, is not correct.