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matlee

  • one year ago

is surjective even or odd?

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  1. zzr0ck3r
    • one year ago
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    ?

  2. matlee
    • one year ago
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    Hi

  3. zzr0ck3r
    • one year ago
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    hi

  4. matlee
    • one year ago
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    do you know what surjective is?

  5. zzr0ck3r
    • one year ago
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    yes

  6. matlee
    • one year ago
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    how can i tell if its even or odd?

  7. zzr0ck3r
    • one year ago
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    A surjective function can be even or odd or neither example even \(f:\mathbb{R}\rightarrow [0,\infty), f(x) = x^2\) is surjective and even odd \(f:\mathbb{R}\rightarrow \mathbb{R}, f(x) = x\) is surjective odd Neither \(f:\mathbb{R}\rightarrow \mathbb{R}, f(x) = 2x+3\) is neither even nor odd but is surjective

  8. matlee
    • one year ago
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    my equation is f(x)= x^3 + 0.04x2 +3

  9. zzr0ck3r
    • one year ago
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    A function is even if \(f(-x) = f(x) \) for all \(x\) A function is odd if \(f(-x) = -f(x)\) for all \(x\). A function is surjective if for all \(y\) there exists \(x\) such that \(f(x) = y\).

  10. matlee
    • one year ago
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    my domain and range are all R

  11. zzr0ck3r
    • one year ago
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    that is neither even nor odd. If it were even then \(f(2) = f(-2)\) and it does not. If it were odd, then it would be true that \(f(2) =-f(2)\) and that is not true. Check em to make sure:) It is however surjective

  12. matlee
    • one year ago
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    Wow thank you, so i would just put niether

  13. zzr0ck3r
    • one year ago
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    even functions are symetrical across the y axis odd functions are symetrical about the origin

  14. matlee
    • one year ago
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    what do you mean origin? i recently just joined this precalc class and am already having trouble lol

  15. matlee
    • one year ago
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    so the odd ones would look similiar to itself?

  16. zzr0ck3r
    • one year ago
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    it means that if you flip it about the x axis and then flip it about the y axis, it looks exactly the same as when you started

  17. zzr0ck3r
    • one year ago
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    http://www.mathwords.com/s/symmetric_origin.htm

  18. matlee
    • one year ago
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    oo i see

  19. matlee
    • one year ago
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    hahah thank you i appreciate your help i can finally move onto question number 3 lol

  20. zzr0ck3r
    • one year ago
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    np keep at it

  21. matlee
    • one year ago
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    Sure thing goodmirning or goodnight bye

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