ParthKohli
  • ParthKohli
Can we use the ‘maps to’ symbol to show a solution of an equation?
Mathematics
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SOLVED
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katieb
  • katieb
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ParthKohli
  • ParthKohli
For example,\[\rm 3x = 18 \implies x\mapsto6\]Will that be the correct notation?
ParthKohli
  • ParthKohli
Also check this one:\[\rm x^2 = 9\implies x\mapsto(3,-3)\]
anonymous
  • anonymous
\[f:x \rightarrow3x\] is that cornened with functions

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anonymous
  • anonymous
The first is OK because it defines x as a constant function.
anonymous
  • anonymous
The second defines x as a constant function yielding (3,-3) which doesn't make much sense here... perhaps you mean: \[x=\pm3\text{ or }x\in\{3,-3\}\]
anonymous
  • anonymous
x is mapped to 3x -18
ParthKohli
  • ParthKohli
What does “mapped to” exactly mean?
anonymous
  • anonymous
we willneed to variables to talk about mapping
anonymous
  • anonymous
we will need two variables
anonymous
  • anonymous
mapped is in relation to functions.
ParthKohli
  • ParthKohli
Yes, okay, but how can you say that \(\rm x\) maps to 3 or -3?
anonymous
  • anonymous
@ParthKohli a map is a relation between sets; \[x\mapsto3\text{ is essentially the same as }F(x)=3\]
anonymous
  • anonymous
|dw:1350632977047:dw| f is a function that maps x to y
ParthKohli
  • ParthKohli
Yes, that's exactly what I am taught. Was just confirming. :)
anonymous
  • anonymous
Where y = f(x)....
ParthKohli
  • ParthKohli
Well, so how can say write this? x maps to either 3 or -3.
ParthKohli
  • ParthKohli
Yes, yes, I know that. :P
anonymous
  • anonymous
\[y^2-9=x\]
anonymous
  • anonymous
So where is your function?
anonymous
  • anonymous
\[x : \mathbb{R}\to{-3,3} \]
ParthKohli
  • ParthKohli
Here:\[\rm x^2 - 9 = 0\]
anonymous
  • anonymous
\[x\in\{-3,3\}\text{ or }x=\pm3\]
ParthKohli
  • ParthKohli
As I said, I need to use the mapping symbol for showing the solution of an equation.
ParthKohli
  • ParthKohli
My current question is, how can we use the mapping symbol to show two solutions of an equation?
anonymous
  • anonymous
That makes virtually no sense. Do you know what the symbol means?
anonymous
  • anonymous
That is not usual...
ParthKohli
  • ParthKohli
Yes, I know what mapping means... ugh. Can we even use the mapping symbol to show two solutions of an equation?
anonymous
  • anonymous
Not really...
anonymous
  • anonymous
\[x:y \rightarrow \pm \sqrt{9}\]
anonymous
  • anonymous
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?"
ParthKohli
  • ParthKohli
How would you represent that the solutions of equation \(\rm x^2 = 9\) are \(3\) and \(-3\)?
anonymous
  • anonymous
\[x=\pm3\text{ or }x\in\{-3,3\}\]
anonymous
  • anonymous
Well, one way is just to write it like u just did...:-)
ParthKohli
  • ParthKohli
What will the full mathematical sentence be? @estudier @oldrin.bataku
anonymous
  • anonymous
x^2 = 9 -> x = plus/minus 3
ParthKohli
  • ParthKohli
\[\rm x^2 = 9 \implies x=\pm 3\]right?
anonymous
  • anonymous
That's the same, yes...
ParthKohli
  • ParthKohli
Thank you both, I'm returning with another question. :P
anonymous
  • anonymous
\[(x^2=9)\implies(x=\pm3)\]
UnkleRhaukus
  • UnkleRhaukus
use \mapsto to show the related sets , the independent variable (x) and the dependent variable f

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