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anonymous

  • one year ago

Algebra help please? Compare and contrast these four functions using complete sentences. Focus on teh slope and y-intercept first, and then on any additional properties of each function. I alread have some of it, but I need some help.

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  1. anonymous
    • one year ago
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    Here are the four functions:

  2. anonymous
    • one year ago
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    give me answer chice

  3. anonymous
    • one year ago
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    I already have that f(x) = 2x + 5 and it gives me j(x) = 2x - 5. I think g(x) = 4x - 8 and h(x) = 2x - 1 but I'm not sure of those two are correct.

  4. anonymous
    • one year ago
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    It's an essay question, not multiple choice

  5. anonymous
    • one year ago
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    idk

  6. anonymous
    • one year ago
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    @Nnesha Do you think you can help?

  7. Nnesha
    • one year ago
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    for h(x) line is increasing or decreasing ?

  8. anonymous
    • one year ago
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    decreasing

  9. anonymous
    • one year ago
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    It's starting at the five and going over 1 and down 2. I don't know how to write that though.

  10. Nnesha
    • one year ago
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    so what does it means ?

  11. Nnesha
    • one year ago
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    slope would be what ?

  12. anonymous
    • one year ago
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    1/2?

  13. Nnesha
    • one year ago
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    nope if line is decreasing then slope would be negative

  14. anonymous
    • one year ago
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    Oh yeah, so it'd be -1/2?

  15. anonymous
    • one year ago
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    yes

  16. Nnesha
    • one year ago
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    nope 2 is right slope is rise over run = 2/1 =2 it's decreasing so would be negative

  17. anonymous
    • one year ago
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    Oh okay. So the function would be h(x) = 5x - 2?

  18. Nnesha
    • one year ago
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    hmm y-intercept is a point where line intersect y-axis y=mx+b where m is slope b is y-intercept

  19. anonymous
    • one year ago
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    y = mx + b sooo h(x) = -2x + 5

  20. Nnesha
    • one year ago
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    yes right

  21. anonymous
    • one year ago
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    Okay, thank you. Now what about the g(x) function. Did I get that equation right?

  22. Nnesha
    • one year ago
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    nope slope and y-intercept both are wrong try again show ur work so i can find out the mistakes :=)

  23. anonymous
    • one year ago
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    Well I said it was g(x) = 4x - 8 because under the x column it is increasing by 4 and under the g(x) colume it is increasing by -8.

  24. Nnesha
    • one year ago
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    x isn't increasing by 4 would you add 4 with -2 to get 2 ?

  25. anonymous
    • one year ago
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    Yes... -2 + 4 = 2 then 2 + 4 is 6

  26. anonymous
    • one year ago
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    Even my calculator says that -2 + 4 is 2

  27. Nnesha
    • one year ago
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    hmm that's not a good way to find slope you should use slope formula

  28. Nnesha
    • one year ago
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    y-intercept isn't 8

  29. anonymous
    • one year ago
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    g(x) is increasing by -8 though. -1 - 8 = -9 and -9 - 8 = -17

  30. Nnesha
    • one year ago
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    that's not right slope isn't 4 use the slope formula \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_2 }\]

  31. Nnesha
    • one year ago
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    wait a sec i see

  32. anonymous
    • one year ago
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    I don't have coordinates so I can't use that formula.

  33. Nnesha
    • one year ago
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    that's the difference of y's and x's y's =-8 x's = 4

  34. Nnesha
    • one year ago
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    so replace y_2 -y_1 = -8 and x_2 - x_1 =4 that would give you slope

  35. anonymous
    • one year ago
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    I don't understand what you're telling me to do.

  36. Nnesha
    • one year ago
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    |dw:1441982763195:dw| coordinates

  37. Nnesha
    • one year ago
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    you can use the table to find slope (-2 ,-1)(2,-9)(6,-17) are coordinates

  38. Nnesha
    • one year ago
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    slope formula is \[\huge\rm \frac{ difference~of~y }{ difference~of~x }=\frac{ y_2-y_1 }{ x_2-x_1 }\]

  39. anonymous
    • one year ago
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    Oh! Okay so... y2 - y1 / x2 - 1 -9 - (-1) / 2 - (-2) = -8 / 4 simplified would be... -2

  40. anonymous
    • one year ago
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    So -2 is my slope?

  41. Nnesha
    • one year ago
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    and you said x is increasing by 4 and y increasing by -8 that's difference between y and x's \[\huge\rm \frac{ difference~of~y }{ difference~of~x }=\frac{ y_2-y_1 }{ x_2-x_1 }=\frac{-8}{4}\]

  42. Nnesha
    • one year ago
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    yes right

  43. anonymous
    • one year ago
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    Now how do I figure out my y-inercept? Do I just use -8? So my function would be: g(x) = -2x - 8

  44. Nnesha
    • one year ago
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    nope use on of the order pair (x,y) plug that into the equation y =-2x+b

  45. Nnesha
    • one year ago
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    one*

  46. anonymous
    • one year ago
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    So my function is g(x) = -2x - 5, right?

  47. Nnesha
    • one year ago
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    looks good

  48. anonymous
    • one year ago
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    Omg, thank you so much!!! You are the best

  49. Nnesha
    • one year ago
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    yw good work!

  50. anonymous
    • one year ago
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    Do you mind checking a question for me? I already did it but I'm not sure if it's right.

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