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anonymous

  • one year ago

If the range of the function f(x)= 5x − 3 is {-13, -8, -3, 12, 17}, what is its domain? I am confused with the 5x-3, can someone help?

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  1. anonymous
    • one year ago
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    @iCake @ICanAwnserQuestions

  2. anonymous
    • one year ago
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    i do not know.

  3. anonymous
    • one year ago
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    @jim_thompson5910

  4. jim_thompson5910
    • one year ago
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    The range is the set of possible outputs. So it's saying that the set of possible outputs are -13, -8, -3, 12, 17

  5. anonymous
    • one year ago
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    yeah i get that what i dont get is the 5x-3

  6. jim_thompson5910
    • one year ago
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    it wants the corresponding inputs for each output so say the output is y = -13 that means y = 5x - 3 -13 = 5x - 3 -13+3 = 5x -10 = 5x 5x = -10 x = -10/5 x = -2 So if the output is y = -13, then the input is x = -2

  7. jim_thompson5910
    • one year ago
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    you will do this for the other outputs to get the domain

  8. anonymous
    • one year ago
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    oh now i get it thanks!!! :D

  9. jim_thompson5910
    • one year ago
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    you're welcome

  10. anonymous
    • one year ago
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    what did you get? i get -2,-1,0,1,2

  11. anonymous
    • one year ago
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    @jim_thompson5910

  12. jim_thompson5910
    • one year ago
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    let me check

  13. jim_thompson5910
    • one year ago
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    I don't agree with 1 or 2 but the "-2,-1,0" part is correct

  14. anonymous
    • one year ago
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    okay let me try it again

  15. anonymous
    • one year ago
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    i dont get it what i have to do with the y=-13 and x-2 @jim_thompson5910

  16. jim_thompson5910
    • one year ago
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    do you see how I plugged in y = -13 and solved to get x = -2 ?

  17. anonymous
    • one year ago
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    yeah but i dont undersand it that much

  18. jim_thompson5910
    • one year ago
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    well the idea is that if you plug in x =-2, you'll get y = -13 out they want you to think in reverse. If y = -8 is the output, then what must the input be?

  19. anonymous
    • one year ago
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    -1 ?

  20. anonymous
    • one year ago
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    i mean -4

  21. jim_thompson5910
    • one year ago
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    yep because y = 5x-3 y = 5*(-1) - 3 ... replace x with -1 y = -5 - 3 y = -8 so this shows how if x = -1 is plugged in, then y = -8 pops out

  22. jim_thompson5910
    • one year ago
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    I'll be right back

  23. anonymous
    • one year ago
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    okay

  24. jim_thompson5910
    • one year ago
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    I'm back

  25. jim_thompson5910
    • one year ago
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    So do you see how plugging in x = -1 gives y = -8?

  26. anonymous
    • one year ago
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    yes

  27. jim_thompson5910
    • one year ago
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    and if y = -3, then what must x be?

  28. anonymous
    • one year ago
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    2?

  29. jim_thompson5910
    • one year ago
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    let's check y = 5x-3 y = 5*2 - 3 ... replace x with 2 y = 10-3 y = 7 so if x = 2, then y = 7 but we want y = -3

  30. anonymous
    • one year ago
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    i get it! thank you! I have 4 questions more can you help me? its for a home test

  31. jim_thompson5910
    • one year ago
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    I can't help with tests

  32. anonymous
    • one year ago
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    its practically a homework and its the last 4 questions that i have trouble with :/

  33. anonymous
    • one year ago
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    @jim_thompson5910

  34. jim_thompson5910
    • one year ago
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    Ok I'll help with 2 of them if it's a hw. Which 2 are giving you the most trouble?

  35. anonymous
    • one year ago
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    widget wonder produce widgets. They have found that the cost,c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it cost $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets. Find the total cost of producing 6 widgets.

  36. anonymous
    • one year ago
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    i am so bad at that kind of problems like the paraghrap @jim_thompson5910

  37. jim_thompson5910
    • one year ago
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    ok let me look through it

  38. anonymous
    • one year ago
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    okay

  39. jim_thompson5910
    • one year ago
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    do you have a TI calculator (like a TI83 or TI84) ?

  40. anonymous
    • one year ago
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    no :/ but cellphone work? or a scientific calculator?

  41. jim_thompson5910
    • one year ago
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    the cellphone won't work because we need to do quadratic interpolation

  42. jim_thompson5910
    • one year ago
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    let me find a calculator

  43. anonymous
    • one year ago
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    okay thanks for your effort and your time ;) :D

  44. jim_thompson5910
    • one year ago
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    ok I found this page http://www.solvemymath.com/online_math_calculator/interpolation.php you will type in [2,16], [4,18], [10,48] and hit calculate. Tell me what comes up

  45. anonymous
    • one year ago
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    it appear this: http://solvemymath.com/calc_data/draw_data/cache/be7017ac8ee524153679ac985295e596.png

  46. jim_thompson5910
    • one year ago
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    I got that as well

  47. jim_thompson5910
    • one year ago
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    now you plug x = 6 into that function to get your final answer

  48. anonymous
    • one year ago
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    thas what i dont get because it a big division

  49. jim_thompson5910
    • one year ago
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    \[\Large f(x) = \frac{x^2-4x+36}{2}\] \[\Large f(6) = \frac{6^2-4(6)+36}{2}\] \[\Large f(6) = \frac{36-4(6)+36}{2}\] \[\Large f(6) = \frac{36-24+36}{2}\] \[\Large f(6) = \frac{12+36}{2}\] \[\Large f(6) = \frac{48}{2}\] \[\Large f(6) = 24\]

  50. jim_thompson5910
    • one year ago
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    So this means it costs $24 to make 6 widgets

  51. anonymous
    • one year ago
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    ohh okay so i always going to subsitute the x for its value

  52. anonymous
    • one year ago
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    and how do you get that list of numbers? like this one that you type [2,16], [4,18], [10,48] @jim_thompson5910

  53. jim_thompson5910
    • one year ago
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    Given: "The company also discovered that it cost $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets." "it cost $16 to produce 2 widgets" means x = 2 and y = 16 "$18 to produce 4 widgets" means x = 4 and y = 18 "$48 to produce 10 widgets" means x = 10 and y = 48

  54. jim_thompson5910
    • one year ago
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    all that means we know (2,16), (4, 18) and (10,48) all lie on this parabola

  55. anonymous
    • one year ago
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    and how you know which ones where on the same parentesis

  56. jim_thompson5910
    • one year ago
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    what do you mean?

  57. anonymous
    • one year ago
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    some of the numbers where in the same parenthesis

  58. anonymous
    • one year ago
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    oh nevermind i get it. thanks for your help! i have to go Thanks a lot!!

  59. anonymous
    • one year ago
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    @jim_thompson5910

  60. jim_thompson5910
    • one year ago
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    alright I'm glad it's making sense now

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