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anonymous

  • one year ago

Help with algebra!! Will give medal!!!!

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  1. anonymous
    • one year ago
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    2. Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x). • g(x) = x3 – x2 – 4x + 4 • g(x) = x3 + 2x2 – 9x – 18 • g(x) = x3 – 3x2 – 4x + 12 • g(x) = x3 + 2x2 – 25x – 50 • g(x) = 2x3 + 14x2 – 2x – 14

  2. anonymous
    • one year ago
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    @butterflydreamer why do you keep coming here and leaving???

  3. butterflydreamer
    • one year ago
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    LOOOOL because i want to help xD BUT i'm not that great at this -.-

  4. anonymous
    • one year ago
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    Haha its fine, I was just like "the heck is she doing leaving and coming?" Well do you have anyone you know who can help me?

  5. butterflydreamer
    • one year ago
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    sorrry xD I'm pretty sure the qualified helpers can help :) Firstly you should choose one of the g(x) functions to use

  6. butterflydreamer
    • one year ago
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    for the first part, when you want to find the 0's, you set g(x) = 0... then factorise and solve for x. So e.g. if you use the first one: g(x) = x^3 - x^2 - 4x + 4 \[g(x) = x^3 - x^2 -4x + 4 \rightarrow x^3 - x^2 - 4x + 4 = 0 \]

  7. butterflydreamer
    • one year ago
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    you can factorise that to get: |dw:1436366996300:dw|

  8. anonymous
    • one year ago
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    Ok

  9. anonymous
    • one year ago
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    @butterflydreamer so the answer is x= +-2,1

  10. butterflydreamer
    • one year ago
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    hmm yeah, but only if YOU choose to use the first equation. I'd suggest you pick a different one on your own though :)

  11. anonymous
    • one year ago
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    @butterflydreamer here is the other question. 3. Provide a rough sketch of g(x). Label or identify the key features on the graph.

  12. butterflydreamer
    • one year ago
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    when you identify the zeros of a function, the values of x will be your x-values when y = 0. So basically, when g (x) = 0 , x = -2 , + 2 , 1 Note: (-2, 0) , (2, 0), (1,0) are your x-intercepts basically. looking at your relation: \[g(x) = x^3 - x^2 - 4x+ x \] Can you see that your relation is a cubic? Since the highest degree is 3. Also note how x^3 is POSITIVE and not -x^3. So it's positive curve.

  13. anonymous
    • one year ago
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    Ok. So I how would I do the graph though? I will have to use a curved line correct?

  14. butterflydreamer
    • one year ago
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    so try to graph it.. knowing that it is: - a positive cubic curve - has 3 x-intercepts at ( -2, 0) , (2, 0), (1, 0) OH i forgot, also work out your y-intercept :) so when x = 0 , y= ? to do this we have : y = x^3 - x^2 - 4x + 4 so set x = 0 and we get \[y = (0)^3 - (0)^2 - 4(0) + 4 = ? \] TO SUMMARISE. To sketch a cubic: 1. identify if it is a positive/negative cubic curve (ask yourself if x^3 is + / -) 2. find x-intercepts (set y = 0) 3. find y-intercept (set x = 0) |dw:1436369493931:dw|

  15. anonymous
    • one year ago
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    Ok I think I get it. Thank you so very much!!!

  16. butterflydreamer
    • one year ago
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    you're welcome :) hope it was helpful LOLLL (i tried xD)

  17. anonymous
    • one year ago
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    Well I do I have one last one. Sorry! I didn't see it lol. I'll post it see if you can help me with it.

  18. butterflydreamer
    • one year ago
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    okey dokeyy

  19. anonymous
    • one year ago
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    4. Esmeralda is graphing a polynomial function as a parabola. Before she begins graphing it, explain how to find the vertex. Make sure you include how to determine if it will be a maximum or minimum point. Use an example quadratic function to help you explain and provide its graph.

  20. butterflydreamer
    • one year ago
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    okaay, this question is hard for me to explain.. LOL close this question and post it as a new one :) I'm sure many other users will be able to help you :)

  21. anonymous
    • one year ago
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    OK thank you lotts!!!

  22. butterflydreamer
    • one year ago
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    noo problem :D

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