Mathematics
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OpenStudy (anonymous):
g(x)=sqrt x+2 ; x=-2,-2,2,7
@jim_thompson5910
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OpenStudy (anonymous):
so starting with x=-2
i would get g(-2)=sqrt-2+2
so it'd be g(-2)=sqrt0????????????
jimthompson5910 (jim_thompson5910):
the square root of 0 is _____
OpenStudy (anonymous):
0
jimthompson5910 (jim_thompson5910):
I'm assuming the function is \[\large g(x) = \sqrt{x+2}\]
jimthompson5910 (jim_thompson5910):
so (-2,0) is on the graph
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OpenStudy (anonymous):
yup
OpenStudy (anonymous):
o
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
would the domain be all real numbers too?
jimthompson5910 (jim_thompson5910):
no
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jimthompson5910 (jim_thompson5910):
there are some numbers that will not work
jimthompson5910 (jim_thompson5910):
in general, you cannot take the square root of a negative number to get a real number as an output
jimthompson5910 (jim_thompson5910):
so if x+2 is negative, then it won't work
this means you have to make x+2 either 0 or positive
OpenStudy (anonymous):
x>=-2 is the domain?
jimthompson5910 (jim_thompson5910):
good
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jimthompson5910 (jim_thompson5910):
you can also see the domain when you graph (like you saw the range)
OpenStudy (anonymous):
and the range would be y>=0
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
ty!!!!!!!!!!!!!!!!!!!!!!!!!!!!
jimthompson5910 (jim_thompson5910):
sure thing
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OpenStudy (anonymous):
how is the graph suppose to look?
OpenStudy (anonymous):
|dw:1371344439597:dw|something like that?
jimthompson5910 (jim_thompson5910):
something like this
|dw:1371344439145:dw|