A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

For a function p(x) , as |x| → ∞ then p(x) → 2. Which of the following graphs could be p(x)?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

  2. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    as \(|x|\to\infty\) means \(x\to \infty\), \(x\to -\infty\)

  3. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so we're given that the graph approaches \(2\) as you go left and right extremes on x axis

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I wasn't sure what the arrow meant. I searched but got conflicting answers. Most said that it was interchangeable with the equals sign though. Is this correct?

  5. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    good question, \(\to\) is read as "tends to" or "approaches"

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, I think I got it, @ganeshie8. If I am right, the answer should be graph D, correct? Or am I way off?

  7. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Is the function approaching "2" as you walk right or left extremes on x axis ? |dw:1435298726902:dw|

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't think I have a great understanding on what extremes are, because I did think the function was approaching 2..

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @ganeshie8

  10. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    whats the approximate value of function in graph D at x=10 ?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh! approx. 1.2ish, not 2

  12. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    can you guess the apprximate value at x=1000000 ?

  13. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    it seems the graph is approaching x axis yes ?

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it's like an asymptote; always getting near the x-axis, but not quite touching it?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the value at 1000000 would be very minimal.

  16. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes it is almost 0, and the more extreme right you go, the more closer the function approaches 0

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay..

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so then that narrows it down to A and B

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, just B

  20. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    In B, what does the graph approach to as you go extreme right ?

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh it is increasing

  22. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1435301616932:dw|

  23. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    looks the graph is approaching "4" as you go extreme right yes ?

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I just looked at what was closer to it, distance wise near the beginning of the curve. It would get farther away from 2 as you go more extreme right

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  26. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    look at option C

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, and even A is curving slightly upwards.

  28. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1435301725529:dw|

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wow. Thanks for tolerating me, this must have been frustrating. I'll write a testimonial for your troubles

  30. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    glad you figured out the answer finally! but trust me, it is not frustrating at all when somebody engages with you completely, asks relevant questions and tries hard to understand the concept.

  31. 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

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.