## onegirl Group Title Explain why each function is discontinuous at the given point. f(x) = x/x - 1 at x = 1 one year ago one year ago

1. Lethal Group Title

so what is discontinuous?

2. onegirl Group Title

you mean the word discontinuous or?

3. Lethal Group Title

yeah

4. onegirl Group Title

well it means having a gap... missing doesn't continue

5. Lethal Group Title

i don't get it. why would this function be discontinuous

6. onegirl Group Title

because its saying that at point 1 it breaks its doesnt continue the line, so you have to explain why? why it broke?

7. onegirl Group Title

@zepdrix can u help?

8. zepdrix Group Title

$\large f(x)=\frac{x}{x-1}$ In the land of math, we are never allowed to divide by 0. If we let $$x=1$$, it turns the denominator into $$0$$. Which gives us a fraction of the form $$\dfrac{1}{0}$$, which is no beuno!! See how we're dividing by 0? So we say that the function is undefined, or in other words, has a discontinuity at x=1.

9. zepdrix Group Title

If we were to look at it graphically, it forms an asymptote at x=1. Remember what type of discontinuity that is?

10. onegirl Group Title

infinite right? lol

11. zepdrix Group Title

yes good c:

12. onegirl Group Title

ok thanks

13. Lethal Group Title

Good Good.