Is the function $g : mathbb{Z} times mathbb{Z} to mathbb{Z}, g((u,v))=2v-6u$ injective, surjective or...
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Is the function $$g : mathbb{Z} times mathbb{Z} to mathbb{Z}, g((u,v))=2v-6u$$ injective, surjective or bijective? Explain.
functions discrete-mathematics
edited Nov 23 at 10:54
N. F. Taussig
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asked Nov 23 at 6:20
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closed as off-topic by spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos Nov 23 at 11:26
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If this question can be reworded to fit the rules in the help center, please edit the question.
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Is the function $$g : mathbb{Z} times mathbb{Z} to mathbb{Z}, g((u,v))=2v-6u$$ injective, surjective or bijective? Explain.
functions discrete-mathematics
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
asked Nov 23 at 6:20
Fighter334
11
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
closed as off-topic by spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos Nov 23 at 11:26
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
2
Please edit the question to give your thoughts on the problem.
– spaceisdarkgreen
Nov 23 at 6:24
Welcome to MathSE. When you pose a question here, it is expected that you share your own thoughts on the problem. Please edit the question to tell us what you know about determining whether a function is injective, surjective, or bijective. Also, show us what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 23 at 11:27
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Is the function $$g : mathbb{Z} times mathbb{Z} to mathbb{Z}, g((u,v))=2v-6u$$ injective, surjective or bijective? Explain.
functions discrete-mathematics
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
asked Nov 23 at 6:20
Fighter334
11
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Is the function $$g : mathbb{Z} times mathbb{Z} to mathbb{Z}, g((u,v))=2v-6u$$ injective, surjective or bijective? Explain.
functions discrete-mathematics
functions discrete-mathematics
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
asked Nov 23 at 6:20
Fighter334
11
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
asked Nov 23 at 6:20
Fighter334
11
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
edited Nov 23 at 10:54
N. F. Taussig
42.8k93254
42.8k93254
asked Nov 23 at 6:20
Fighter334
11
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Nov 23 at 6:20
Fighter334
11
asked Nov 23 at 6:20
Fighter334
11
11
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Fighter334 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
closed as off-topic by spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos Nov 23 at 11:26
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos Nov 23 at 11:26
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – spaceisdarkgreen, Math_QED, Rebellos, Christopher, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
2
Please edit the question to give your thoughts on the problem.
– spaceisdarkgreen
Nov 23 at 6:24
Welcome to MathSE. When you pose a question here, it is expected that you share your own thoughts on the problem. Please edit the question to tell us what you know about determining whether a function is injective, surjective, or bijective. Also, show us what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 23 at 11:27
add a comment |
2
Please edit the question to give your thoughts on the problem.
– spaceisdarkgreen
Nov 23 at 6:24
Welcome to MathSE. When you pose a question here, it is expected that you share your own thoughts on the problem. Please edit the question to tell us what you know about determining whether a function is injective, surjective, or bijective. Also, show us what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 23 at 11:27
2
2
Please edit the question to give your thoughts on the problem.
– spaceisdarkgreen
Nov 23 at 6:24
Please edit the question to give your thoughts on the problem.
– spaceisdarkgreen
Nov 23 at 6:24
Welcome to MathSE. When you pose a question here, it is expected that you share your own thoughts on the problem. Please edit the question to tell us what you know about determining whether a function is injective, surjective, or bijective. Also, show us what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 23 at 11:27
Welcome to MathSE. When you pose a question here, it is expected that you share your own thoughts on the problem. Please edit the question to tell us what you know about determining whether a function is injective, surjective, or bijective. Also, show us what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 23 at 11:27
add a comment |
1 Answer
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Well,the function is clearly not surjective since it produces only even integers. Also take $(u,v)=(1,3)$ and $(2,6)$. Both the time $g(u,v)=0$. So it is not injective either and hence not bijective!
answered Nov 23 at 6:28
user587126
114
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Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Well,the function is clearly not surjective since it produces only even integers. Also take $(u,v)=(1,3)$ and $(2,6)$. Both the time $g(u,v)=0$. So it is not injective either and hence not bijective!
answered Nov 23 at 6:28
user587126
114
3
Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
add a comment |
up vote
0
down vote
Well,the function is clearly not surjective since it produces only even integers. Also take $(u,v)=(1,3)$ and $(2,6)$. Both the time $g(u,v)=0$. So it is not injective either and hence not bijective!
answered Nov 23 at 6:28
user587126
114
3
Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
add a comment |
up vote
0
down vote
up vote
0
down vote
Well,the function is clearly not surjective since it produces only even integers. Also take $(u,v)=(1,3)$ and $(2,6)$. Both the time $g(u,v)=0$. So it is not injective either and hence not bijective!
answered Nov 23 at 6:28
user587126
114
Well,the function is clearly not surjective since it produces only even integers. Also take $(u,v)=(1,3)$ and $(2,6)$. Both the time $g(u,v)=0$. So it is not injective either and hence not bijective!
answered Nov 23 at 6:28
user587126
114
answered Nov 23 at 6:28
user587126
114
answered Nov 23 at 6:28
user587126
114
answered Nov 23 at 6:28
user587126
114
114
3
Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
add a comment |
3
Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
3
3
Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
Many of us consider it better not to post answers to questions posted without context.
– Gerry Myerson
Nov 23 at 6:33
add a comment |
2
Please edit the question to give your thoughts on the problem.
– spaceisdarkgreen
Nov 23 at 6:24
Welcome to MathSE. When you pose a question here, it is expected that you share your own thoughts on the problem. Please edit the question to tell us what you know about determining whether a function is injective, surjective, or bijective. Also, show us what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 23 at 11:27