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)?

Answer 1

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.

Answer 2

Oops. Lissed a - in my excample.

Answer 3

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.

Answer 4

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.