Question

State the domain and range of each function.
Justify your answer
a) y=1/(x+5)
b) y=√1-2x

I know how to do domain and range, but I don't remember what shapes these form. It's not parabolas, is it? Then, to justify them, I need to draw them, so that's why I need to know the shape. Does anyone know any good site that shows the shapes and their formulas. I would really appreciate this. :)

Answer 1

The best way to know them is to draw them.
a. y=1/(x+5) has the same shape as 1/x, except that the graph is translated towards -x axis by 5.
http://i263.photobucket.com/albums/ii157/mathmate/sally1.png

b. y=√(1-2x) should look like √x, but mirrored about x=0.5
http://i263.photobucket.com/albums/ii157/mathmate/sally2.png

I will leave it to you to do the domains and ranges.

Answer 2

Oh, ok, I see. Thank you.

Answer 3

You're welcome!