A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathmath333

  • one year ago

find the minimum and maximum value of \(y\) if

  • This Question is Closed
  1. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\large \color{black}{\begin{align} y=\text{max}(2x+3,x-1),\ -10\leq x\leq 10\hspace{.33em}\\~\\ \end{align}}\)

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

    Since it is a linear function you can test the endpoints.

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

    how is defined: \[\Large \max \left( {f\left( x \right),g\left( x \right)} \right)\]?

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

    is it a metric?

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

    sorry, I remember now!

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

    we can write this: \[\max \left( {f\left( x \right),g\left( x \right)} \right) = \frac{1}{2}\left\{ {f\left( x \right) + g\left( x \right) + \left| {f\left( x \right) - g\left( x \right)} \right|} \right\}\]

  7. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I am with @jayzdd

  8. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    well answer given is \(\large \color{black}{\begin{align} & y_{\text{max}} =23\hspace{.33em}\\~\\ & y_{\text{min}} =-11\hspace{.33em}\\~\\ \end{align}}\)

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

    I used a wrong formula

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

    It must be\[y=\frac{3x+2+|x+4|}{2}\]

  11. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @Michele_Laino 's formula looks correct.

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

    yeah, that's the correct formula

  13. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    just for the record https://www.desmos.com/calculator/a9klmgww5t

  14. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

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

    so we just need to plug three values for finding max and min, -10, -4 and 10

  16. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes -10 and 10

  17. 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.