Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

onegirl

  • 3 years ago

Explain why each function is discontinuous at the given point. f(x) = x/x - 1 at x = 1

  • This Question is Closed
  1. Lethal
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so what is discontinuous?

  2. onegirl
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you mean the word discontinuous or?

  3. Lethal
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah

  4. onegirl
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  5. Lethal
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  6. onegirl
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix can u help?

  8. zepdrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\large f(x)=\frac{x}{x-1}\] 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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  10. onegirl
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    infinite right? lol

  11. zepdrix
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes good c:

  12. onegirl
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thanks

  13. Lethal
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Good Good.

  14. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy