Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

amistre64

  • 2 years ago

This was fuunn!!! Create an equation of absolute values with the given properties for the graph slopes from left to right are: -4, -2, 1, 0, 4 you can define your own vertexes, but it has to match those slopes.

  • This Question is Closed
  1. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no cowering away from a challenge now ;)

  2. magepker728
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol just by looking at it made me slap myself lol

  3. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    :)

  4. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    with 5 slopes, we would need to setup up a system of 5 equations in 5 unknowns i finally understood the dynamics to determine the slopes this morning

  5. magepker728
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well if you can explain how to do it, ill really appreciate it

  6. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    spose we name the parts for each slope as: a,b,c,d we can construct the equations as such -a-b-c-d = -4 -a-b-c+d = -2 -a-b+c+d = 1 -a+b+c+d=0 this gives us a solutions to:\[y=a|x-v_1|+b|x-v_2|+c|x-v_3|+d|x-v_4|\] where the vs are the vertexes from left to right as well

  7. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    since the first and last slopes are just multiples of each other, we can do this one with 4 equations

  8. magepker728
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wow never taught of it this way lol.. looks like i have another problem to copy and save in my folder lol

  9. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i had never had the notion to even consider this until a post about it yesterday that i was on

  10. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i sat there this morning with my trusty little ti83; and wrote out an equation to test the dynamic with y = 2|x-v1|+|x-v2|+2|x-v3| and i found out that the corresponding graph had slopes between verts that matched up with: -(2+1+2) -(2+1-2) -(2-1-2) -(-2-1-2)

  11. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    replacing my known slopes with a b and c defined a general setup :) yay

  12. magepker728
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    your amazing lol

  13. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    im curious if i introduce a derivative as a slope if i can get a section between verts to be a curve

  14. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    rref{{-1,-1,-1,-1,-4},{-1,-1,-1,1,-2},{-1,-1,1,1,1},{-1,1,1,1,0}} the wolf gives me a matrix read out of the abcd so that y = 2|x+2| -|x|/2+3|x-2|/2+|x-5| - 10 ; - 10 just to drop it down hmm, but its reversed, right to left lol http://www.wolframalpha.com/input/?i=y+%3D+2%7Cx%2B2%7C+-%7Cx%7C%2F2%2B3%7Cx-2%7C%2F2%2B%7Cx-5%7C+-+10

  15. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i guess we can forgo the negative in front .... of my setups :)

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.