A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

clara1223

  • one year ago

Give the values of A and B for the function f(x)={Ax-B when x<=1, -24x when 1<x<5, Bx^2-A when x>= 5} to be continuous at both x = 1 and x = 5.

  • This Question is Closed
  1. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    HI!!

  2. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    this is not as hard as it may look replace \(x\) by \(1\) in both expressions \[Ax-B\] and \[-24x\]

  3. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    if \(x=1\)the first one is \(A-B\) and the second is \(-24\) so you have on equation \[A-B=-24\]

  4. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    then put in \(x=5\) in both \(-24x\) and \(Bx^2-A\)

  5. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    this time you get \[-120=25B-A\] as a second equation

  6. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    solve the system \[A-B=-24\\25B-A=-120\] to find \(A\) and \(B\)

  7. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks so much! I got that A= -30 and B=-6. I'm just going to plug them back in to make sure they work! ti\njhj

  8. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    i didn't do it, but i can check if you like

  9. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yeah i get the same thing

  10. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Don't worry about it, plugging it in will tell me if it's right or not.

  11. clara1223
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, thanks!

  12. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \[f(x) = \left\{\begin{array}{rcc} Ax-B & \text{if} & x <1 \\ -24x& \text{if} & 1\leq x\leq5\\ Bx^2-A&\text{if} &x>5 \end{array} \right. \]

  13. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    just seeing if i could write it \[\color\magenta\heartsuit\]

  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

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.