Question

What are the x and y-intercepts of
2/(x^2-2x-3)?

Answer 1

y-intercepts, substitute x = 0
x-intercepts, substitute y = 0

Answer 2

Okay, thanks.

Answer 3

Did you get an x-intercept?

Answer 4

No, I got a y-intercept though.

Answer 5

-2/3

Answer 6

Perfect. Good work.

Answer 7

I'm confused on the x-intercept.

Answer 8

I keep getting 2=0.

Answer 9

Well, taht is why I asked. I thouhgt you might be. \(2 \ne 0\) Done!

Answer 10

So what is the intercept?

Answer 11

If you get nonsense, and you made no errors, then you started with nonsense.

In this case, we were hoping for an x-intercept, so we attempted to substitute y = 0. When we did that, we ended up with 2 = 0. Since that makes absolutely no sense, we are done. Substituting y = 0 was not acceptable and this function does NOT intersect the x-axis.

Answer 12

Oh, thanks!