Function that is both non increasing and non decreasing on R [closed] Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Function having increasing and decreasing intervalsA continuous, injective function $f: mathbbR to mathbbR$ is either strictly increasing or strictly decreasing.Counting strictly increasing and non-decreasing functionsWhy do we use the terms “non-increasing/non-decreasing/non-negative”?Can a bounded function be written as the sum of a nondecreasing and non increasing function?Prove that there exists $f,g : mathbbR$ to $mathbbR$ such that $f(g(x))$ is strictly increasing and $g(f(x))$ is strictly decreasing.Is it monotonically non-increasing or non-decreasingfind increasing and decreasing intervals of a functionIncreasing and Decreasing functions using interval notationThe derivative of a decreasing function is _______
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Function that is both non increasing and non decreasing on R [closed]
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Function having increasing and decreasing intervalsA continuous, injective function $f: mathbbR to mathbbR$ is either strictly increasing or strictly decreasing.Counting strictly increasing and non-decreasing functionsWhy do we use the terms “non-increasing/non-decreasing/non-negative”?Can a bounded function be written as the sum of a nondecreasing and non increasing function?Prove that there exists $f,g : mathbbR$ to $mathbbR$ such that $f(g(x))$ is strictly increasing and $g(f(x))$ is strictly decreasing.Is it monotonically non-increasing or non-decreasingfind increasing and decreasing intervals of a functionIncreasing and Decreasing functions using interval notationThe derivative of a decreasing function is _______
$begingroup$
Title says it all. Ant help would be appreciated! Function that is both non increasing and non decreasing on R
real-analysis functions
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
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
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
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
edited Apr 2 at 3:21
J. W. Tanner
5,0551520
asked Apr 1 at 18:47
kestrelkestrel
11
$endgroup$
Title says it all. Ant help would be appreciated! Function that is both non increasing and non decreasing on R
real-analysis functions
real-analysis functions
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
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
edited Apr 2 at 3:21
J. W. Tanner
5,0551520
5,0551520
asked Apr 1 at 18:47
kestrelkestrel
11
asked Apr 1 at 18:47
kestrelkestrel
11
asked Apr 1 at 18:47
kestrelkestrel
11
11
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
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
1
$begingroup$
constant function
$endgroup$
– J. W. Tanner
Apr 1 at 18:56
add a comment |
1
$begingroup$
constant function
$endgroup$
– J. W. Tanner
Apr 1 at 18:56
1
1
$begingroup$
constant function
$endgroup$
– J. W. Tanner
Apr 1 at 18:56
$begingroup$
constant function
$endgroup$
– J. W. Tanner
Apr 1 at 18:56
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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 $f(x) = sin(x)$.
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 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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 $f(x) = sin(x)$.
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 $f(x) = sin(x)$.
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 $f(x) = sin(x)$.
answered Apr 1 at 18:49
rolandcyprolandcyp
2,149422
$endgroup$
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 $f(x) = sin(x)$.
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
answered Apr 1 at 18:49
rolandcyprolandcyp
2,149422
2,149422
$begingroup$
got it thanks!!
$endgroup$
– kestrel
Apr 1 at 18:57
add a comment |
$begingroup$
got it thanks!!
$endgroup$
– kestrel
Apr 1 at 18:57
$begingroup$
got it thanks!!
$endgroup$
– kestrel
Apr 1 at 18:57
$begingroup$
got it thanks!!
$endgroup$
– kestrel
Apr 1 at 18:57
add a comment |
1
$begingroup$
constant function
$endgroup$
– J. W. Tanner
Apr 1 at 18:56