Mixing
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How am I supposed to interpret the negative and positive intervals in this graph?
Clash Royale CLAN TAG#URR8PPP
up vote
5
down vote
favorite
The Graph:
I'm tripped up over paragraph two. I don't think it's right. I think the graph is negative at $-10 < x < -9$ and $-2 < x < 4$ and positive at $-9 < x < -2$ and $4 < x < 10$.
analytic-geometry graphing-functions
edited yesterday
amWhy
189k25218431
asked yesterday
JimGordon
292
add a comment |Â
up vote
5
down vote
favorite
The Graph:
I'm tripped up over paragraph two. I don't think it's right. I think the graph is negative at $-10 < x < -9$ and $-2 < x < 4$ and positive at $-9 < x < -2$ and $4 < x < 10$.
analytic-geometry graphing-functions
edited yesterday
amWhy
189k25218431
asked yesterday
JimGordon
292
4
Yeah, you are right. It's printing mistake I think @JimGordon
– Anik Bhowmick
yesterday
1
@gimusi If you plan to enlarge the graph, please also write out in text the second paragraph that the OP explicitly refers to. Your last edit removed the text that is part of why this asker asked the question.
– amWhy
yesterday
@amWhy Yes sorry I agree, I didn't noticed at first the importance of the text and I enlarged that to make it more clear. But in that way it is better of course.
– gimusi
yesterday
"To the right of 4, the graph is below the x-axis, meaning that it is negative." Hmmm... are you sure about that textbook?
– Ahalya Satha
yesterday
add a comment |Â
up vote
5
down vote
favorite
up vote
5
down vote
favorite
The Graph:
I'm tripped up over paragraph two. I don't think it's right. I think the graph is negative at $-10 < x < -9$ and $-2 < x < 4$ and positive at $-9 < x < -2$ and $4 < x < 10$.
analytic-geometry graphing-functions
edited yesterday
amWhy
189k25218431
asked yesterday
JimGordon
292
The Graph:
I'm tripped up over paragraph two. I don't think it's right. I think the graph is negative at $-10 < x < -9$ and $-2 < x < 4$ and positive at $-9 < x < -2$ and $4 < x < 10$.
analytic-geometry graphing-functions
edited yesterday
amWhy
189k25218431
asked yesterday
JimGordon
292
edited yesterday
amWhy
189k25218431
edited yesterday
amWhy
189k25218431
edited yesterday
amWhy
189k25218431
189k25218431
asked yesterday
JimGordon
292
asked yesterday
JimGordon
292
asked yesterday
JimGordon
292
292
4
Yeah, you are right. It's printing mistake I think @JimGordon
– Anik Bhowmick
yesterday
1
@gimusi If you plan to enlarge the graph, please also write out in text the second paragraph that the OP explicitly refers to. Your last edit removed the text that is part of why this asker asked the question.
– amWhy
yesterday
@amWhy Yes sorry I agree, I didn't noticed at first the importance of the text and I enlarged that to make it more clear. But in that way it is better of course.
– gimusi
yesterday
"To the right of 4, the graph is below the x-axis, meaning that it is negative." Hmmm... are you sure about that textbook?
– Ahalya Satha
yesterday
add a comment |Â
4
Yeah, you are right. It's printing mistake I think @JimGordon
– Anik Bhowmick
yesterday
1
@gimusi If you plan to enlarge the graph, please also write out in text the second paragraph that the OP explicitly refers to. Your last edit removed the text that is part of why this asker asked the question.
– amWhy
yesterday
@amWhy Yes sorry I agree, I didn't noticed at first the importance of the text and I enlarged that to make it more clear. But in that way it is better of course.
– gimusi
yesterday
"To the right of 4, the graph is below the x-axis, meaning that it is negative." Hmmm... are you sure about that textbook?
– Ahalya Satha
yesterday
4
4
Yeah, you are right. It's printing mistake I think @JimGordon
– Anik Bhowmick
yesterday
Yeah, you are right. It's printing mistake I think @JimGordon
– Anik Bhowmick
yesterday
1
1
@gimusi If you plan to enlarge the graph, please also write out in text the second paragraph that the OP explicitly refers to. Your last edit removed the text that is part of why this asker asked the question.
– amWhy
yesterday
@gimusi If you plan to enlarge the graph, please also write out in text the second paragraph that the OP explicitly refers to. Your last edit removed the text that is part of why this asker asked the question.
– amWhy
yesterday
@amWhy Yes sorry I agree, I didn't noticed at first the importance of the text and I enlarged that to make it more clear. But in that way it is better of course.
– gimusi
yesterday
@amWhy Yes sorry I agree, I didn't noticed at first the importance of the text and I enlarged that to make it more clear. But in that way it is better of course.
– gimusi
yesterday
"To the right of 4, the graph is below the x-axis, meaning that it is negative." Hmmm... are you sure about that textbook?
– Ahalya Satha
yesterday
"To the right of 4, the graph is below the x-axis, meaning that it is negative." Hmmm... are you sure about that textbook?
– Ahalya Satha
yesterday
add a comment |Â
2 Answers
2
active
oldest
votes
up vote
6
down vote
Not only you're absolutely right, but it is a pretty poor phrasing altogether to say that a graph is negative. A number can be negative, not a graph. It is important to understand that maths is made of objects of different nature (that can be related in a number of ways) and to use precise and appropriate terminology so as not to mix up these objects.
I wouldn't recommend this book to any of my classes, at any level.
answered yesterday
Arnaud Mortier
17.7k21757
2
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
1
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
2
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
1
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
add a comment |Â
up vote
3
down vote
Yes it is correct, we can say that
- $f$ is negative for $-10<x<-9$ and $-2<x<4$
- $f$ is positive for $-9<x<-2$ and $4<x<10$
since we don't have information for values $x<-10$ and $x>10$.
answered yesterday
gimusi
63.5k73380
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
6
down vote
Not only you're absolutely right, but it is a pretty poor phrasing altogether to say that a graph is negative. A number can be negative, not a graph. It is important to understand that maths is made of objects of different nature (that can be related in a number of ways) and to use precise and appropriate terminology so as not to mix up these objects.
I wouldn't recommend this book to any of my classes, at any level.
answered yesterday
Arnaud Mortier
17.7k21757
2
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
1
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
2
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
1
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
add a comment |Â
up vote
6
down vote
Not only you're absolutely right, but it is a pretty poor phrasing altogether to say that a graph is negative. A number can be negative, not a graph. It is important to understand that maths is made of objects of different nature (that can be related in a number of ways) and to use precise and appropriate terminology so as not to mix up these objects.
I wouldn't recommend this book to any of my classes, at any level.
answered yesterday
Arnaud Mortier
17.7k21757
2
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
1
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
2
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
1
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
add a comment |Â
up vote
6
down vote
up vote
6
down vote
Not only you're absolutely right, but it is a pretty poor phrasing altogether to say that a graph is negative. A number can be negative, not a graph. It is important to understand that maths is made of objects of different nature (that can be related in a number of ways) and to use precise and appropriate terminology so as not to mix up these objects.
I wouldn't recommend this book to any of my classes, at any level.
answered yesterday
Arnaud Mortier
17.7k21757
Not only you're absolutely right, but it is a pretty poor phrasing altogether to say that a graph is negative. A number can be negative, not a graph. It is important to understand that maths is made of objects of different nature (that can be related in a number of ways) and to use precise and appropriate terminology so as not to mix up these objects.
I wouldn't recommend this book to any of my classes, at any level.
answered yesterday
Arnaud Mortier
17.7k21757
answered yesterday
Arnaud Mortier
17.7k21757
answered yesterday
Arnaud Mortier
17.7k21757
answered yesterday
Arnaud Mortier
17.7k21757
17.7k21757
2
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
1
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
2
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
1
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
add a comment |Â
2
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
1
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
2
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
1
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
2
2
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
Yea it is The Princeton Review "Cracking the GED test". I've come across completely wrong explanations a couple times in this book. It really throws me off.
– JimGordon
yesterday
1
1
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
@JimGordon Thanks for the precision. Sometimes editors do pay attention to feedback, so it might be worthwhile sending them an email - although you'd be doing their job.
– Arnaud Mortier
yesterday
2
2
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
Although I rather wouldn't use the phrase myself, I don't see much objectable about saying “the graph is negative†for “the function has negative valuesâ€Â. What's your concern?
– leftaroundabout
yesterday
1
1
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
@leftaroundabout It encourages all kinds of mix up. If you are mathematically grown up, you are going to be able to stick to relatively reasonable misuse of language. But students tend to mix up everything and end up with totally nonsensical statements where you can only sometimes even guess what they meant. You need to teach them to use proper language systematically and from the beginning if you want to avoid that.
– Arnaud Mortier
yesterday
add a comment |Â
up vote
3
down vote
Yes it is correct, we can say that
- $f$ is negative for $-10<x<-9$ and $-2<x<4$
- $f$ is positive for $-9<x<-2$ and $4<x<10$
since we don't have information for values $x<-10$ and $x>10$.
answered yesterday
gimusi
63.5k73380
add a comment |Â
up vote
3
down vote
Yes it is correct, we can say that
- $f$ is negative for $-10<x<-9$ and $-2<x<4$
- $f$ is positive for $-9<x<-2$ and $4<x<10$
since we don't have information for values $x<-10$ and $x>10$.
answered yesterday
gimusi
63.5k73380
add a comment |Â
up vote
3
down vote
up vote
3
down vote
Yes it is correct, we can say that
- $f$ is negative for $-10<x<-9$ and $-2<x<4$
- $f$ is positive for $-9<x<-2$ and $4<x<10$
since we don't have information for values $x<-10$ and $x>10$.
answered yesterday
gimusi
63.5k73380
Yes it is correct, we can say that
- $f$ is negative for $-10<x<-9$ and $-2<x<4$
- $f$ is positive for $-9<x<-2$ and $4<x<10$
since we don't have information for values $x<-10$ and $x>10$.
answered yesterday
gimusi
63.5k73380
answered yesterday
gimusi
63.5k73380
answered yesterday
gimusi
63.5k73380
answered yesterday
gimusi
63.5k73380
63.5k73380
add a comment |Â
add a comment |Â
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4
Yeah, you are right. It's printing mistake I think @JimGordon
– Anik Bhowmick
yesterday
1
@gimusi If you plan to enlarge the graph, please also write out in text the second paragraph that the OP explicitly refers to. Your last edit removed the text that is part of why this asker asked the question.
– amWhy
yesterday
@amWhy Yes sorry I agree, I didn't noticed at first the importance of the text and I enlarged that to make it more clear. But in that way it is better of course.
– gimusi
yesterday
"To the right of 4, the graph is below the x-axis, meaning that it is negative." Hmmm... are you sure about that textbook?
– Ahalya Satha
yesterday