A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

OpenStudy9

  • one year ago

Is y=(x^3)+1 and Even or Odd Function???

  • This Question is Closed
  1. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you tell me what it means for something to be even or odd?

  2. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What are the definitions of each term?

  3. OpenStudy9
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, if a function is Even, than the negative of it is the same as the positive of it. If it is Odd, than \[-f(x)=f(-x)\]

  4. OpenStudy9
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is it Odd??

  5. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good on definition, now, pick a convenient number, say x=1 and see which definition holds

  6. OpenStudy9
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1^3 +1 is 2. (-1)^3 +1= 0 so not even, 1^3 +1 is 2, and -(1^3 +1) is -2. So the Answer is Neither!?

  7. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep yep :)

  8. OpenStudy9
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks!!!

  9. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You just proved that it is not odd and that it is not even.

  10. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now, if it was only x^3 it would be a different story. you would find that it is odd. So if it is asking if the mother function is even or odd, it would be odd.

  11. OpenStudy9
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, I see! THank YOU

  12. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait hold on a sec. One issue

  13. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I missed something in your work

  14. FibonacciChick666
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I skimmed sorry. so here: "1^3 +1 is 2. (-1)^3 +1= 0 so not even, 1^3 +1 is 2, and \[\color\red{-(1^3 +1)}\] is -2. So the Answer is Neither!?" What is marked in red, isn't actually f(-x). f(-x) is (-1)^3+1 when f(x) is 1^3+1

  15. OpenStudy9
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    OK

  16. 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.