You are not logged in.
Pages: 1
Given A(x) = 4x•sqrt{1 - x^2}, find the domain of A.
I believe to find the domain, I must set the radicand 1 - x^2 to be greater rhan or equal to 0.
Let => represent greater than or equa to.
1 - x^2 => 0
-x^2 => -1
Dividing both sides by -1, I get this:
x^2 <= 1, the symbol <= represents less than or equal to.
sqrt{x^2} <= sqrt{1}
x <= 1
Domain = all real numbers between -1 & 1 INCLUDING -1 & 1.
We can say it this way:
Domain = [-1, 1]
You say?
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
That looks right to me.
B
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
Offline
That looks right to me.
B
Very good. Happy to be right.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
Hi Bob,
It seems that that 'range and 'domain' could be applied both on the variable or the function.
I thought, so I may be wrong, that 'domain' is for the variable only and 'range' is for the function only.
Please clarify this point.
Thank you.
Kerim
Last edited by KerimF (2024-03-17 00:52:57)
Online
Hi Bob,
It seems that that 'range and 'domain' could be applied both on the variable or the function.
I thought, so I may be wrong, that 'domain' is for the variable only and 'range' is for the function only.
Please clarify this point.
Thank you.
Kerim
Last edited by nycguitarguy (2024-03-17 01:33:13)
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
That looks right to me.
B
Last edited by nycguitarguy (2024-03-17 01:32:51)
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
hi KerimF,
I'm using the Wolfram Alpha definitions: domain for the independent variable and range for the dependent one.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
Offline
"Given A(x) = 4x•sqrt{1 - x^2}, find the 'domain' of A."
A(x) is supposed to be a dependent variable, so I expected to read... find the 'range' of A.
Online
"Given A(x) = 4x•sqrt{1 - x^2}, find the 'domain' of A."
A(x) is supposed to be a dependent variable, so I expected to read... find the 'range' of A.
I type my questions as stated in the textbooks.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
What confuses me is how one gives a result as 'a range' and as 'a domain'!
Online
What confuses me is how one gives a result as 'a range' and as 'a domain'!
I don't understand your confusion.
Find the domain is not the same as find the range.
I type all questions as stated in the textbooks.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
KerimF wrote:What confuses me is how one gives a result as 'a range' and as 'a domain'!
I don't understand your confusion.
Find the domain is not the same as find the range.
I type all questions as stated in the textbooks.
Sorry if I gave you the impressing that I am arguing with you or else. Please note that I believe whatever you say.
I just knew things in math that are somehow different from what I see here sometimes. That is all.
So, when in doubt, I believe that Bob, for example, can help clarifying the math definitions of interest, as they are followed on his side and yours.
On my side, I have no reason not to accept anything you say. After all, at work, I don't follow any definition. I just solve math problems and get numerical/practical results.
Online
FelizNYC wrote:KerimF wrote:What confuses me is how one gives a result as 'a range' and as 'a domain'!
I don't understand your confusion.
Find the domain is not the same as find the range.
I type all questions as stated in the textbooks.Sorry if I gave you the impressing that I am arguing with you or else. Please note that I believe whatever you say.
I just knew things in math that are somehow different from what I see here sometimes. That is all.
So, when in doubt, I believe that Bob, for example, can help clarifying the math definitions of interest, as they are followed on his side and yours.
On my side, I have no reason not to accept anything you say. After all, at work, I don't follow any definition. I just solve math problems and get numerical/practical results.
Thank you for the feedback.
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
Given A(x) = 4x•sqrt{1 - x^2}, find the domain of A.
Theres a way to do this so you dont have to try to go from 'x<=1' to '-1<=x<=1'
This gives you two sol'ns: x=1, x=-1
Also you know shape of quadratics like y=x^2-1:
<=0 between sol'ns (when its positive like this)
This lets you go to
Offline
FelizNYC wrote:Given A(x) = 4x•sqrt{1 - x^2}, find the domain of A.
Theres a way to do this so you dont have to try to go from 'x<=1' to '-1<=x<=1'
This gives you two sol'ns: x=1, x=-1
Also you know shape of quadratics like y=x^2-1:
<=0 between sol'ns (when its positive like this)This lets you go to
Domain = [-1, 1]
The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.
Dr. David Jeremiah
Offline
Pages: 1