Mixing
Can a function map a single X value to multiple Y values?
$begingroup$
If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?
For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?
Thanks
functions
asked Aug 9 '17 at 11:28
JmJJmJ
1033
$endgroup$
add a comment |
$begingroup$
If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?
For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?
Thanks
functions
asked Aug 9 '17 at 11:28
JmJJmJ
1033
$endgroup$
3
$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33
add a comment |
$begingroup$
If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?
For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?
Thanks
functions
asked Aug 9 '17 at 11:28
JmJJmJ
1033
$endgroup$
If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?
For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?
Thanks
functions
functions
asked Aug 9 '17 at 11:28
JmJJmJ
1033
asked Aug 9 '17 at 11:28
JmJJmJ
1033
asked Aug 9 '17 at 11:28
JmJJmJ
1033
asked Aug 9 '17 at 11:28
JmJJmJ
1033
asked Aug 9 '17 at 11:28
JmJJmJ
1033
1033
3
$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33
add a comment |
3
$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33
3
3
$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33
$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Can a function map a single X value to multiple Y values?
By definition, no. A function maps every X value in the valid domain to only a single Y value.
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
$endgroup$
add a comment |
$begingroup$
In mathematics, the definition of a function requires that any single input may only have one output.
answered Aug 9 '17 at 11:31
DWDDWD
503213
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2387787%2fcan-a-function-map-a-single-x-value-to-multiple-y-values%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Can a function map a single X value to multiple Y values?
By definition, no. A function maps every X value in the valid domain to only a single Y value.
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
$endgroup$
add a comment |
$begingroup$
Can a function map a single X value to multiple Y values?
By definition, no. A function maps every X value in the valid domain to only a single Y value.
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
$endgroup$
add a comment |
$begingroup$
Can a function map a single X value to multiple Y values?
By definition, no. A function maps every X value in the valid domain to only a single Y value.
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
$endgroup$
Can a function map a single X value to multiple Y values?
By definition, no. A function maps every X value in the valid domain to only a single Y value.
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
answered Aug 9 '17 at 11:33
LloydTaoLloydTao
32114
32114
add a comment |
add a comment |
$begingroup$
In mathematics, the definition of a function requires that any single input may only have one output.
answered Aug 9 '17 at 11:31
DWDDWD
503213
$endgroup$
add a comment |
$begingroup$
In mathematics, the definition of a function requires that any single input may only have one output.
answered Aug 9 '17 at 11:31
DWDDWD
503213
$endgroup$
add a comment |
$begingroup$
In mathematics, the definition of a function requires that any single input may only have one output.
answered Aug 9 '17 at 11:31
DWDDWD
503213
$endgroup$
In mathematics, the definition of a function requires that any single input may only have one output.
answered Aug 9 '17 at 11:31
DWDDWD
503213
edited Aug 9 '17 at 11:37
answered Aug 9 '17 at 11:31
DWDDWD
503213
answered Aug 9 '17 at 11:31
DWDDWD
503213
answered Aug 9 '17 at 11:31
DWDDWD
503213
503213
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2387787%2fcan-a-function-map-a-single-x-value-to-multiple-y-values%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
3
$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33