A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Help with functions?

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

    @jim_thompson5910 @phi @Nnesha

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

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

    What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = -1 to x = 3?

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

    A. f(x), g(x), h(x) B. g(x), f(x), h(x) C. h(x), g(x), f(x) D. g(x), h(x), f(x)

  5. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can do this by finding the change in y divided by the change in x the change in x fro -1 to 3 is 4 , and is the same for all 3 functions i.e. ignore dividing by 4, and just find the change in y can you do that ?

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

    I'm not sure if I understand..

  7. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    for the f(x) (the graph) can you read the "y" value at x=-1 ?

  8. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I mean g(x) graph

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

    Yeah it's -1? ..right?

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

    Wait nooo

  11. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    put your finger on -1 on the x-axis, and move your finger down until you hit the line

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

    Sorry had I quadrants mixed up.

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

    -2!

  14. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes. now what is the y value at x= 3 ?

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

    0?

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

    Er -2?

  17. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes. y=0 at x=3 and the "change in y" is 0 - (-2) = 2 (the average rate of change would be 2/4 = 1/2)

  18. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    not er -2, you did it correctly the first time.

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

    Okay yeah sorry. Haven't been focusing on math for a couple days (trying to reach my end date)

  20. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let's do h(x) what is y at x= -1 and y at x= 3 ?

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

    -2 and 0?

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

    Oh wrong one!!

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

    h(x): 14 and 62?

  24. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, and what is the "change in y" ?

  25. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i.e. when we go from 14 up to 62, how much did y change ?

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

    It goes up by 5, 7, 9...

  27. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we want a single number. if you start at 14 and end up at 62, how far did you go up ?

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

    So the difference is 48.

  29. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes. and the slope (average rate of change ) is 48/4 (the 4 is the change in x from -1 to 3) so far we have g(x) slope is 2/4 and h(x) is 48/4 so g(x) should go before h(x) in your answer.

  30. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now the first one f(x) = (x+3)^2 -2 we have to put in x=-1 and figure out f(-1) (-1+3)^2 -2 = ?

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

    2!

  32. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and now for x=3 . can you do that?

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

    Pluggin in x=3? That would be 34.

  34. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    finally, change in y from 2 up to 34 is 32 the slope (average rate of change) for f(x) is 32/4 here is what we have for the slopes: f(x) is 32/4 g(x) slope is 2/4 h(x) is 48/4 now put them in order small to big.

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

    g(x), h(x), and f(x)?

  36. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ignore the divide by 4 you have f 32, g 2, and h 48 what is the smallest and which is the biggest? and which goes in the middle?

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

    OH g, f and h.

  38. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we could divide each by 4, but the order won't change.

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

    Right. So is that right?

  40. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, that is it.

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

    Okay awesome. Thank you so so much! I'm so ready to be done with Algebra II.

  42. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Think of it as a life-altering experience, and once in a life-time adventure.

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

    True. I'm all for adventures, just not the one's where I have to figure out how many watermelons Kyle needs to sell (if you get my drift)

  44. 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.