ParthKohli
Can we use the ‘maps to’ symbol to show a solution of an equation?
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ParthKohli
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For example,\[\rm 3x = 18 \implies x\mapsto6\]Will that be the correct notation?
ParthKohli
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Also check this one:\[\rm x^2 = 9\implies x\mapsto(3,-3)\]
Jonask
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\[f:x \rightarrow3x\]
is that cornened with functions
oldrin.bataku
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The first is OK because it defines x as a constant function.
oldrin.bataku
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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: \[x=\pm3\text{ or }x\in\{3,-3\}\]
estudier
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x is mapped to 3x -18
ParthKohli
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What does “mapped to” exactly mean?
Jonask
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we willneed to variables to talk about mapping
Jonask
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we will need two variables
estudier
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mapped is in relation to functions.
ParthKohli
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Yes, okay, but how can you say that \(\rm x\) maps to 3 or -3?
oldrin.bataku
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@ParthKohli a map is a relation between sets; \[x\mapsto3\text{ is essentially the same as }F(x)=3\]
Jonask
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|dw:1350632977047:dw|
f is a function that maps x to y
ParthKohli
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Yes, that's exactly what I am taught. Was just confirming. :)
estudier
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Where y = f(x)....
ParthKohli
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Well, so how can say write this?
x maps to either 3 or -3.
ParthKohli
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Yes, yes, I know that. :P
Jonask
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\[y^2-9=x\]
estudier
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So where is your function?
oldrin.bataku
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\[x : \mathbb{R}\to{-3,3} \]
ParthKohli
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Here:\[\rm x^2 - 9 = 0\]
oldrin.bataku
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\[x\in\{-3,3\}\text{ or }x=\pm3\]
ParthKohli
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As I said, I need to use the mapping symbol for showing the solution of an equation.
ParthKohli
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My current question is, how can we use the mapping symbol to show two solutions of an equation?
oldrin.bataku
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That makes virtually no sense. Do you know what the symbol means?
estudier
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That is not usual...
ParthKohli
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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?
estudier
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Not really...
Jonask
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\[x:y \rightarrow \pm \sqrt{9}\]
oldrin.bataku
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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?"
ParthKohli
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How would you represent that the solutions of equation \(\rm x^2 = 9\) are \(3\) and \(-3\)?
oldrin.bataku
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\[x=\pm3\text{ or }x\in\{-3,3\}\]
estudier
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Well, one way is just to write it like u just did...:-)
ParthKohli
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What will the full mathematical sentence be? @estudier @oldrin.bataku
estudier
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x^2 = 9 -> x = plus/minus 3
ParthKohli
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\[\rm x^2 = 9 \implies x=\pm 3\]right?
estudier
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That's the same, yes...
ParthKohli
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Thank you both, I'm returning with another question. :P
oldrin.bataku
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\[(x^2=9)\implies(x=\pm3)\]
UnkleRhaukus
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use \mapsto to show the related sets , the independent variable (x) and the dependent variable f