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OpenStudy (anonymous):
OpenStudy (anonymous):
@ilfy214 @primeralph
OpenStudy (mathstudent55):
Do you notice the vertical dashed line?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
see how the vertical line is going through -2?
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OpenStudy (anonymous):
yes
OpenStudy (mathstudent55):
Now, notice that the graph to the right of the dashed line goes more and more up without touching the dahsed line?
OpenStudy (anonymous):
yes
OpenStudy (mathstudent55):
Also, you notice that the graph to the left of the dashed line goes more and more down without ever touching the dahsed line?
OpenStudy (anonymous):
yes
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OpenStudy (mathstudent55):
When you have a line like this in a graph that the graph of the function approaches but never touches, this line is called an asymptote.
OpenStudy (anonymous):
oo ok so we have to make an equation for it?
OpenStudy (mathstudent55):
As @ilfy214 mentioned above, the asymptote line goes through x = -2.
This means that the function can have every x value except for x = -2.
OpenStudy (anonymous):
ooo ok
OpenStudy (mathstudent55):
You don't need to know what the equation fo the fuction is. All you need to do is to notice from the graph that the graph get closer and closer to x = -2 but never touches it. The answer is that the domain is all numbers except for x = -2. Remember that with domain we are dealing with x values only.
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