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anonymous

  • 5 years ago

what are the ways to remember how the end behavior will be for graphing a polynomial function, like if the leading coefficient is positive and the degree is even what does it look like? leading coefficient +, and degree odd? leading -, degree even? leading -, odd?

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  1. amistre64
    • 5 years ago
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    i know...i know...pick me!!

  2. anonymous
    • 5 years ago
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    hahah thanks

  3. amistre64
    • 5 years ago
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    all even degreed function with a positive first term will have ends that go up in both directions like a "U". if the first term is negative, it flips it over and the ends will go down like a turned over bowl...

  4. amistre64
    • 5 years ago
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    all odd degreed function behave like a slanted line. if the first term is positive, they go uphill.... left side down, right side up

  5. amistre64
    • 5 years ago
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    if its negative it flows down hill; left side up, right side down.... make sense?

  6. anonymous
    • 5 years ago
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    you just saved my life. thank you <3

  7. amistre64
    • 5 years ago
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    No prob :)

  8. anonymous
    • 5 years ago
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    so if its still and even degreed function but just with a negative first term it is like a frown?

  9. amistre64
    • 5 years ago
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    Yes, exactly....kinda depressing....

  10. anonymous
    • 5 years ago
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    haha

  11. anonymous
    • 5 years ago
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    can i give an example?

  12. anonymous
    • 5 years ago
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    ....

  13. amistre64
    • 5 years ago
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    sorry, left for a sec.... yeah, ive me an example ...

  14. amistre64
    • 5 years ago
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    *give....

  15. anonymous
    • 5 years ago
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    alright.

  16. anonymous
    • 5 years ago
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    \[x ^{4}+2x ^{3}-16x ^{2}-2x+15\]

  17. anonymous
    • 5 years ago
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    positive lead, even degree, smiley face?

  18. amistre64
    • 5 years ago
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    thats correct; all the other stuff does is make it dance around, but when the value of "x" gets HUGE, all that matters is the "x^4"..

  19. amistre64
    • 5 years ago
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    HUGE being relative, -infinity or infinity, both tend to be pretty massive :)

  20. amistre64
    • 5 years ago
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    How about this one: -4x^7 + 6x^2 -9; whats it doin at the ends?

  21. anonymous
    • 5 years ago
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    hahah gets huge. good one.

  22. amistre64
    • 5 years ago
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    remember "negative" is down....downhilll.....

  23. anonymous
    • 5 years ago
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    ok ummm left up, right down

  24. amistre64
    • 5 years ago
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    very good :) youre a natural

  25. anonymous
    • 5 years ago
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    i get huge. i mean big. i mean good.

  26. anonymous
    • 5 years ago
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    im a girl, just saying,

  27. amistre64
    • 5 years ago
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    :) my daughters a girl too

  28. amistre64
    • 5 years ago
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    how about: 9834x^743858 + 14x^32 -90 ?

  29. anonymous
    • 5 years ago
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    nice. postive, even. smiley

  30. anonymous
    • 5 years ago
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    positive*

  31. amistre64
    • 5 years ago
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    nuthin to it right? :)

  32. anonymous
    • 5 years ago
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    ehh.

  33. amistre64
    • 5 years ago
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    is that your impersonation of a canadian...

  34. amistre64
    • 5 years ago
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    have you studied rational functions yet? with their vertical and horizontal asymptotes?

  35. anonymous
    • 5 years ago
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    no not yet

  36. amistre64
    • 5 years ago
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    we'll save that for another day then :) Ciao...

  37. anonymous
    • 5 years ago
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    thank you!

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