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ParthKohli

  • 3 years ago

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

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

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

  3. Jonask
    • 3 years ago
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    \[f:x \rightarrow3x\] is that cornened with functions

  4. oldrin.bataku
    • 3 years ago
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    The first is OK because it defines x as a constant function.

  5. oldrin.bataku
    • 3 years ago
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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: \[x=\pm3\text{ or }x\in\{3,-3\}\]

  6. estudier
    • 3 years ago
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    x is mapped to 3x -18

  7. ParthKohli
    • 3 years ago
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    What does “mapped to” exactly mean?

  8. Jonask
    • 3 years ago
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    we willneed to variables to talk about mapping

  9. Jonask
    • 3 years ago
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    we will need two variables

  10. estudier
    • 3 years ago
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    mapped is in relation to functions.

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

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

  13. Jonask
    • 3 years ago
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    |dw:1350632977047:dw| f is a function that maps x to y

  14. ParthKohli
    • 3 years ago
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    Yes, that's exactly what I am taught. Was just confirming. :)

  15. estudier
    • 3 years ago
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    Where y = f(x)....

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

  17. ParthKohli
    • 3 years ago
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    Yes, yes, I know that. :P

  18. Jonask
    • 3 years ago
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    \[y^2-9=x\]

  19. estudier
    • 3 years ago
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    So where is your function?

  20. oldrin.bataku
    • 3 years ago
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    \[x : \mathbb{R}\to{-3,3} \]

  21. ParthKohli
    • 3 years ago
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    Here:\[\rm x^2 - 9 = 0\]

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

  23. ParthKohli
    • 3 years ago
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    As I said, I need to use the mapping symbol for showing the solution of an equation.

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

  25. oldrin.bataku
    • 3 years ago
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    That makes virtually no sense. Do you know what the symbol means?

  26. estudier
    • 3 years ago
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    That is not usual...

  27. ParthKohli
    • 3 years ago
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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?

  28. estudier
    • 3 years ago
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    Not really...

  29. Jonask
    • 3 years ago
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    \[x:y \rightarrow \pm \sqrt{9}\]

  30. oldrin.bataku
    • 3 years ago
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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?"

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

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

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

  34. ParthKohli
    • 3 years ago
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    What will the full mathematical sentence be? @estudier @oldrin.bataku

  35. estudier
    • 3 years ago
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    x^2 = 9 -> x = plus/minus 3

  36. ParthKohli
    • 3 years ago
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    \[\rm x^2 = 9 \implies x=\pm 3\]right?

  37. estudier
    • 3 years ago
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    That's the same, yes...

  38. ParthKohli
    • 3 years ago
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    Thank you both, I'm returning with another question. :P

  39. oldrin.bataku
    • 3 years ago
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    \[(x^2=9)\implies(x=\pm3)\]

  40. UnkleRhaukus
    • 3 years ago
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    use \mapsto to show the related sets , the independent variable (x) and the dependent variable f

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