David M.

asked • 10/28/13

write the domian and range

Write the domain and range of the function in interval notation.
 
 
f(x)= square root sign then x - 4
 
Choose the domain of the function?
 
Whats the range of the function?

1 Expert Answer

By:

Vivian L. answered • 10/28/13

Tutor
3 (1)

Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

Bridget M.

Hi the answers that I have to pick form are
 
for the domain
 
(0,infinity sign)
[-4 infinity sign)
[4,infinity sign)
(4,infinity sign)
 
for the range
 
(4,infinity sign)
[-4,infinity sign)
[0,infinity sign)
(0,infinity sign) 
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10/28/13

Vivian L.

 
Hi Again;
You have to select between brackets and parenthesis.
 
A few weeks ago, I needed help with this too.  Fellow tutor Michael F. of Wilton, CT, rescued me.  It is only a coincidence that we both live in Connecticut.  According to him,
"the parentheses ( and ) indicate no endpoints."
I am quoting out of context.  But if I understand correctly, the ( ) means that the endpoint next to the ( or ) is NOT included.  If I understand that correctly, then the [ ] are what is required here because 
Domain; 4≤x
Range; 0≤y
It is EQUAL or greater than.
I cannot e-mail another tutor.  You can.
http://www.wyzant.com/Tutors/CT/Wilton/8370790/
Please ask him and have him post his answer herein.
 
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10/28/13

Michael F.

The notation is for {x|a≤x<b} we write [a,b), for {x|a<x≤b} we write (a,b]
for the case x≥4 the usage is [4,∞)
in general when the end point is included use square brackets, when not use parentheses.
 
 
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10/29/13

Vivian L.

Thank you!
But in addition to using brackets and parentheses, you also use { and |.  May I please know why?
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10/29/13

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