A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathmath333

  • one year ago

State if \(f\) is a function

  • This Question is Closed
  1. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A relation \(f\) is defined by \(\large \color{black}{\begin{align} f(x) = \begin{cases} x^2, & 0\leq x\leq 3 \\ 3x, & 3\leq x\leq 10 \end{cases}\hspace{.33em}\\~\\ \end{align}}\)

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

    How would you begin?

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

    (What are the conditions for f being a function? )

  4. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    idk

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

    Actually, it's a rule that for f being a function, there could only be 1 Y-value per x-value. So in every x, the function could be unexisting or it could have 1 y-value.

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

    So here you should look if there isn't a x-value with two different y-values

  7. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i didnt understand

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

    You should look, if for x=3, if there are 2 different y-values. If there aren't two different values, it is a function

  9. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why for only x=3

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

    @mathmath333 why are you faking as tania sachdev?

  11. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i m not

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

    In this case, you should only look at the case for x=3 because the two parts are both functions, the only problem could be, with the chosen intervals that for x=3 (in this case) the y-value of the first function is different from the second

  13. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it is same for x=3

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

    If they're the same, you have just one Y-value for the x-value, s it's a function

  15. 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.