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Function that is both non increasing and non decreasing on R [closed]

1

2

$begingroup$

Title says it all. Ant help would be appreciated! Function that is both non increasing and non decreasing on R

real-analysis functions

share|cite|improve this question

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

asked Apr 1 at 18:47

kestrelkestrel

11

$endgroup$

closed as off-topic by Javi, Xander Henderson, Shailesh, YiFan, dantopa Apr 2 at 0:57

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Javi, Xander Henderson, Shailesh, dantopa

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  constant function
  $endgroup$
  – J. W. Tanner
  Apr 1 at 18:56
  

  
  
  
  

add a comment | 

1

2

$begingroup$

Title says it all. Ant help would be appreciated! Function that is both non increasing and non decreasing on R

real-analysis functions

share|cite|improve this question

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

asked Apr 1 at 18:47

kestrelkestrel

11

$endgroup$

closed as off-topic by Javi, Xander Henderson, Shailesh, YiFan, dantopa Apr 2 at 0:57

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Javi, Xander Henderson, Shailesh, dantopa

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  constant function
  $endgroup$
  – J. W. Tanner
  Apr 1 at 18:56
  

  
  
  
  

add a comment | 

$begingroup$

Title says it all. Ant help would be appreciated! Function that is both non increasing and non decreasing on R

real-analysis functions

share|cite|improve this question

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

asked Apr 1 at 18:47

kestrelkestrel

11

$endgroup$

share|cite|improve this question

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

asked Apr 1 at 18:47

kestrelkestrel

11

share|cite|improve this question

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

asked Apr 1 at 18:47

kestrelkestrel

11

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

edited Apr 2 at 3:21

J. W. Tanner

5,0551520

asked Apr 1 at 18:47

kestrelkestrel

11

asked Apr 1 at 18:47

kestrelkestrel

11

1 Answer
1

active

oldest

votes

1

$begingroup$

I'm a little confused by "non decreasing/increasing". Are you looking for a function that is never strictly increasing and not ever strictly decreasing? If so, take $f(x) = 1$ on $mathbbR$.

If instead you are looking for a function that is not monotone increasing and not monotone decreasing, consider the oscillatory function $f(x) = sin(x)$.

share|cite|improve this answer

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  got it thanks!!
  $endgroup$
  – kestrel
  Apr 1 at 18:57
  

  
  
  
  

add a comment | 

1

$begingroup$

I'm a little confused by "non decreasing/increasing". Are you looking for a function that is never strictly increasing and not ever strictly decreasing? If so, take $f(x) = 1$ on $mathbbR$.

If instead you are looking for a function that is not monotone increasing and not monotone decreasing, consider the oscillatory function $f(x) = sin(x)$.

share|cite|improve this answer

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  got it thanks!!
  $endgroup$
  – kestrel
  Apr 1 at 18:57
  

  
  
  
  

add a comment | 

1

$begingroup$

I'm a little confused by "non decreasing/increasing". Are you looking for a function that is never strictly increasing and not ever strictly decreasing? If so, take $f(x) = 1$ on $mathbbR$.

If instead you are looking for a function that is not monotone increasing and not monotone decreasing, consider the oscillatory function $f(x) = sin(x)$.

share|cite|improve this answer

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  got it thanks!!
  $endgroup$
  – kestrel
  Apr 1 at 18:57
  

  
  
  
  

add a comment | 

$begingroup$

I'm a little confused by "non decreasing/increasing". Are you looking for a function that is never strictly increasing and not ever strictly decreasing? If so, take $f(x) = 1$ on $mathbbR$.

If instead you are looking for a function that is not monotone increasing and not monotone decreasing, consider the oscillatory function $f(x) = sin(x)$.

share|cite|improve this answer

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422

$endgroup$

share|cite|improve this answer

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422

answered Apr 1 at 18:49

rolandcyprolandcyp

2,149422