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ParthKohli Group Title

Can we use the ‘maps to’ symbol to show a solution of an equation?

  • one year ago
  • one year ago

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  1. ParthKohli Group Title
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    For example,\[\rm 3x = 18 \implies x\mapsto6\]Will that be the correct notation?

    • one year ago
  2. ParthKohli Group Title
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    Also check this one:\[\rm x^2 = 9\implies x\mapsto(3,-3)\]

    • one year ago
  3. Jonask Group Title
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    \[f:x \rightarrow3x\] is that cornened with functions

    • one year ago
  4. oldrin.bataku Group Title
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    The first is OK because it defines x as a constant function.

    • one year ago
  5. oldrin.bataku Group Title
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    The second defines x as a constant function yielding (3,-3) which doesn't make much sense here... perhaps you mean: \[x=\pm3\text{ or }x\in\{3,-3\}\]

    • one year ago
  6. estudier Group Title
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    x is mapped to 3x -18

    • one year ago
  7. ParthKohli Group Title
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    What does “mapped to” exactly mean?

    • one year ago
  8. Jonask Group Title
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    we willneed to variables to talk about mapping

    • one year ago
  9. Jonask Group Title
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    we will need two variables

    • one year ago
  10. estudier Group Title
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    mapped is in relation to functions.

    • one year ago
  11. ParthKohli Group Title
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    Yes, okay, but how can you say that \(\rm x\) maps to 3 or -3?

    • one year ago
  12. oldrin.bataku Group Title
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    @ParthKohli a map is a relation between sets; \[x\mapsto3\text{ is essentially the same as }F(x)=3\]

    • one year ago
  13. Jonask Group Title
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    |dw:1350632977047:dw| f is a function that maps x to y

    • one year ago
  14. ParthKohli Group Title
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    Yes, that's exactly what I am taught. Was just confirming. :)

    • one year ago
  15. estudier Group Title
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    Where y = f(x)....

    • one year ago
  16. ParthKohli Group Title
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    Well, so how can say write this? x maps to either 3 or -3.

    • one year ago
  17. ParthKohli Group Title
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    Yes, yes, I know that. :P

    • one year ago
  18. Jonask Group Title
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    \[y^2-9=x\]

    • one year ago
  19. estudier Group Title
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    So where is your function?

    • one year ago
  20. oldrin.bataku Group Title
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    \[x : \mathbb{R}\to{-3,3} \]

    • one year ago
  21. ParthKohli Group Title
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    Here:\[\rm x^2 - 9 = 0\]

    • one year ago
  22. oldrin.bataku Group Title
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    \[x\in\{-3,3\}\text{ or }x=\pm3\]

    • one year ago
  23. ParthKohli Group Title
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    As I said, I need to use the mapping symbol for showing the solution of an equation.

    • one year ago
  24. ParthKohli Group Title
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    My current question is, how can we use the mapping symbol to show two solutions of an equation?

    • one year ago
  25. oldrin.bataku Group Title
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    That makes virtually no sense. Do you know what the symbol means?

    • one year ago
  26. estudier Group Title
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    That is not usual...

    • one year ago
  27. ParthKohli Group Title
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    Yes, I know what mapping means... ugh. Can we even use the mapping symbol to show two solutions of an equation?

    • one year ago
  28. estudier Group Title
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    Not really...

    • one year ago
  29. Jonask Group Title
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    \[x:y \rightarrow \pm \sqrt{9}\]

    • one year ago
  30. oldrin.bataku Group Title
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    If you knew what a map was you wouldn't ask a question like that; no, you can't because that's not what it's for. That's like asking "can I use a telescope to write?"

    • one year ago
  31. ParthKohli Group Title
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    How would you represent that the solutions of equation \(\rm x^2 = 9\) are \(3\) and \(-3\)?

    • one year ago
  32. oldrin.bataku Group Title
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    \[x=\pm3\text{ or }x\in\{-3,3\}\]

    • one year ago
  33. estudier Group Title
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    Well, one way is just to write it like u just did...:-)

    • one year ago
  34. ParthKohli Group Title
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    What will the full mathematical sentence be? @estudier @oldrin.bataku

    • one year ago
  35. estudier Group Title
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    x^2 = 9 -> x = plus/minus 3

    • one year ago
  36. ParthKohli Group Title
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    \[\rm x^2 = 9 \implies x=\pm 3\]right?

    • one year ago
  37. estudier Group Title
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    That's the same, yes...

    • one year ago
  38. ParthKohli Group Title
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    Thank you both, I'm returning with another question. :P

    • one year ago
  39. oldrin.bataku Group Title
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    \[(x^2=9)\implies(x=\pm3)\]

    • one year ago
  40. UnkleRhaukus Group Title
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    use \mapsto to show the related sets , the independent variable (x) and the dependent variable f

    • one year ago
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