A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

1-Using the words: odd; even; or neither, classify each of the following functions.U must provide supporting evidence for your classification? 1- f(x) - 2x + 1 2- f(x) 4x^2 - 3 3- f(x) 3x^3 - 2x^2 + 5 4- f(x) 1/x^3 -5x

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

    for a function to be even f(x) = f(-x) for an odd function f(-x) = - f(x)

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

    so for Number 2 f(1) = 4(1)^2 -3 = 4 -3 = 1 f(-1) = 4(-1)^2 - 3 = 4 - 3 = 1 so this is an even function

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

    even functions are symmetrical about the y-axis

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

    What about the answer of 3 and 4 can you also help in it plz

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

    and odd functions have got origin symmetry

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

    find f(1) and f(-1) for number 3 what do you get?

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

    3(1)^3 - 2((1)^2 + 5 = ? 3(-1)^3 - 2((-1)^2 + 5 = ?

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

    if it does ot fit the requirements for even and odd then it is neither

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

    3(1)^3 - 2((1)^2 + 5 = 3 - 2 + 5 = 6 3(-1)^3 - 2((-1)^2 + 5 = -3 -2 + 5 = 0

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

    - so that is neither

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

    sorry gotta go right now

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

    and what abut fourth one ?

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

    thnak you for your help i ll try 4th by my self you are genius :)

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

    thanks

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

    it's the same process as welsh said for a function to be even f(x) = f(-x) for an odd function f(-x) = - f(x) to see whether f(x) = 1/x^3 -5x is even or odd, we can use two steps: 1. to test whether f(x) is even, evaluate f(1) and f(-1). if they are the same, then the function is even. otherwise, the function is not even. 2. to test whether f(x) is odd, evaluate f(-1) and -f(1), if they are the same, then the function is odd. otherwise, the function is not odd

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

    so can you help in 4th one ?

  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.