given the follwing function and graph, identify the asymptotes, domain and range y=3/(x-2)

Answer 1

Hi Giorgina J.,

So inspect your function, and look for blow-ups. Immediately see that if x=2, y blows up. So x=2 is an asymptote line. And what happens at big denominators? the value of y->0. So y=0 is another asymptote.

So the domain is (-infinity,2) and (2, +infinity) and the range is (-infinity, 0) and (0, +infinity). I'll leave it up to you to sketch it, you should always do that anyway with any function you're working with.

Say, that suggests a good idea for a handbag to lug into math class. On each side, it's labeled (<-----domain----->) horizontally and similarly (<---- range--->) vertically.

When someone asks you why, say "It's an asymp-tote bag. Get it?"

-- Cheers, --Mr. d.