Can we assume $f$ is linear? The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Common method of calculating zero places of quadratic and linear function.Why can we assume WLOG that $x$ is zero?How can a unit step function be differentiable??Linear function definitionIf $f( cos^2(x) ) = cos^2(x)$ can I assume that $f(x) = x$?Can someone explain to a calculus student what “dual space is the space of linear functions” mean?Graphing systems of linear equations.Suppose f : R → R is continuous. Let λ be a positive real number, and assume that for everyIs $x^-1$ a linear function?If both $f(x)$ and $g(x)$ are one to one functions and $g(f(x))= f(g(x)) = x$, why does this prove they are inverse of each other?
Working through the single responsibility principle (SRP) in Python when calls are expensive
Make it rain characters
How to grep and cut numbes from a file and sum them
How is simplicity better than precision and clarity in prose?
Are my PIs rude or am I just being too sensitive?
Is it ethical to upload a automatically generated paper to a non peer-reviewed site as part of a larger research?
Would an alien lifeform be able to achieve space travel if lacking in vision?
How many people can fit inside Mordenkainen's Magnificent Mansion?
He got a vote 80% that of Emmanuel Macron’s
Can withdrawing asylum be illegal?
Does Parliament hold absolute power in the UK?
How do you keep chess fun when your opponent constantly beats you?
How to pronounce 1ターン?
Typeface like Times New Roman but with "tied" percent sign
Can smartphones with the same camera sensor have different image quality?
Grover's algorithm - DES circuit as oracle?
What information about me do stores get via my credit card?
The following signatures were invalid: EXPKEYSIG 1397BC53640DB551
Python - Fishing Simulator
Did the UK government pay "millions and millions of dollars" to try to snag Julian Assange?
"... to apply for a visa" or "... and applied for a visa"?
How to prevent selfdestruct from another contract
Keeping a retro style to sci-fi spaceships?
Why did all the guest students take carriages to the Yule Ball?
Can we assume $f$ is linear?
The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Common method of calculating zero places of quadratic and linear function.Why can we assume WLOG that $x$ is zero?How can a unit step function be differentiable??Linear function definitionIf $f( cos^2(x) ) = cos^2(x)$ can I assume that $f(x) = x$?Can someone explain to a calculus student what “dual space is the space of linear functions” mean?Graphing systems of linear equations.Suppose f : R → R is continuous. Let λ be a positive real number, and assume that for everyIs $x^-1$ a linear function?If both $f(x)$ and $g(x)$ are one to one functions and $g(f(x))= f(g(x)) = x$, why does this prove they are inverse of each other?
$begingroup$
I read a hint of a question:
If $f(6)-f(3)=9$ then $f(12)-f(2)=...$
The hint: By assuming that $f(x)=ax+b$.
I'm confused why we can assume $f$ as linear function?
calculus algebra-precalculus functions
edited Mar 31 at 13:38
Bernard
124k741117
asked Mar 31 at 13:27
TinaTina
111
$endgroup$
add a comment |
$begingroup$
I read a hint of a question:
If $f(6)-f(3)=9$ then $f(12)-f(2)=...$
The hint: By assuming that $f(x)=ax+b$.
I'm confused why we can assume $f$ as linear function?
calculus algebra-precalculus functions
edited Mar 31 at 13:38
Bernard
124k741117
asked Mar 31 at 13:27
TinaTina
111
$endgroup$
2
$begingroup$
Without further assumptions on $f$, the question does not make sense, nor does the hint. Are you sure you haven't missed some part of the exercise?
$endgroup$
– MisterRiemann
Mar 31 at 13:28
$begingroup$
You sure it was a hint? Maybe it just said assume it's linear, and then find the value....
$endgroup$
– Displayname
Mar 31 at 13:34
add a comment |
$begingroup$
I read a hint of a question:
If $f(6)-f(3)=9$ then $f(12)-f(2)=...$
The hint: By assuming that $f(x)=ax+b$.
I'm confused why we can assume $f$ as linear function?
calculus algebra-precalculus functions
edited Mar 31 at 13:38
Bernard
124k741117
asked Mar 31 at 13:27
TinaTina
111
$endgroup$
I read a hint of a question:
If $f(6)-f(3)=9$ then $f(12)-f(2)=...$
The hint: By assuming that $f(x)=ax+b$.
I'm confused why we can assume $f$ as linear function?
calculus algebra-precalculus functions
calculus algebra-precalculus functions
edited Mar 31 at 13:38
Bernard
124k741117
asked Mar 31 at 13:27
TinaTina
111
edited Mar 31 at 13:38
Bernard
124k741117
asked Mar 31 at 13:27
TinaTina
111
edited Mar 31 at 13:38
Bernard
124k741117
edited Mar 31 at 13:38
Bernard
124k741117
edited Mar 31 at 13:38
Bernard
124k741117
124k741117
asked Mar 31 at 13:27
TinaTina
111
asked Mar 31 at 13:27
TinaTina
111
asked Mar 31 at 13:27
TinaTina
111
111
2
$begingroup$
Without further assumptions on $f$, the question does not make sense, nor does the hint. Are you sure you haven't missed some part of the exercise?
$endgroup$
– MisterRiemann
Mar 31 at 13:28
$begingroup$
You sure it was a hint? Maybe it just said assume it's linear, and then find the value....
$endgroup$
– Displayname
Mar 31 at 13:34
add a comment |
2
$begingroup$
Without further assumptions on $f$, the question does not make sense, nor does the hint. Are you sure you haven't missed some part of the exercise?
$endgroup$
– MisterRiemann
Mar 31 at 13:28
$begingroup$
You sure it was a hint? Maybe it just said assume it's linear, and then find the value....
$endgroup$
– Displayname
Mar 31 at 13:34
2
2
$begingroup$
Without further assumptions on $f$, the question does not make sense, nor does the hint. Are you sure you haven't missed some part of the exercise?
$endgroup$
– MisterRiemann
Mar 31 at 13:28
$begingroup$
Without further assumptions on $f$, the question does not make sense, nor does the hint. Are you sure you haven't missed some part of the exercise?
$endgroup$
– MisterRiemann
Mar 31 at 13:28
$begingroup$
You sure it was a hint? Maybe it just said assume it's linear, and then find the value....
$endgroup$
– Displayname
Mar 31 at 13:34
$begingroup$
You sure it was a hint? Maybe it just said assume it's linear, and then find the value....
$endgroup$
– Displayname
Mar 31 at 13:34
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
No, you can not.
Say $f(x)= 1over 3x^2$, then $f(6)-f(3)= 9$
or $f(x) = sqrt33x-98$, then again $f(6)-f(3)= 9$
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
$endgroup$
add a comment |
Your Answer
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%2f3169390%2fcan-we-assume-f-is-linear%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
No, you can not.
Say $f(x)= 1over 3x^2$, then $f(6)-f(3)= 9$
or $f(x) = sqrt33x-98$, then again $f(6)-f(3)= 9$
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
$endgroup$
add a comment |
$begingroup$
No, you can not.
Say $f(x)= 1over 3x^2$, then $f(6)-f(3)= 9$
or $f(x) = sqrt33x-98$, then again $f(6)-f(3)= 9$
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
$endgroup$
add a comment |
$begingroup$
No, you can not.
Say $f(x)= 1over 3x^2$, then $f(6)-f(3)= 9$
or $f(x) = sqrt33x-98$, then again $f(6)-f(3)= 9$
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
$endgroup$
No, you can not.
Say $f(x)= 1over 3x^2$, then $f(6)-f(3)= 9$
or $f(x) = sqrt33x-98$, then again $f(6)-f(3)= 9$
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
answered Mar 31 at 13:32
Maria MazurMaria Mazur
49.9k1361125
49.9k1361125
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%2f3169390%2fcan-we-assume-f-is-linear%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
2
$begingroup$
Without further assumptions on $f$, the question does not make sense, nor does the hint. Are you sure you haven't missed some part of the exercise?
$endgroup$
– MisterRiemann
Mar 31 at 13:28
$begingroup$
You sure it was a hint? Maybe it just said assume it's linear, and then find the value....
$endgroup$
– Displayname
Mar 31 at 13:34