anonymous
  • anonymous
Use graphs and tables to find the limit and identify any vertical asymptotes of the function
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
freckles
  • freckles
well the graph of f(x)=1/x is very similar |dw:1433571747343:dw|
freckles
  • freckles
|dw:1433571768376:dw|

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anonymous
  • anonymous
I plugged it into my calculator and got the table
freckles
  • freckles
notice g(x)=1/(x-10) is just going to have the va moved over to the right 10 units
freckles
  • freckles
since x-10=0 gives us x=10
freckles
  • freckles
|dw:1433571829590:dw|
freckles
  • freckles
|dw:1433571854644:dw| do you see the invisible vertical line that the function is getting closer to find the right and left?
freckles
  • freckles
from* (not find)
anonymous
  • anonymous
Yes that is the asymptote?
freckles
  • freckles
yes
freckles
  • freckles
and don't forget 10 is not an equation you would need to write x=10 this is the vertical line that I drew in the above picture
anonymous
  • anonymous
Okay!
freckles
  • freckles
now it looks like your question asks us to find the limit since plugin in 10 gives 1/0 we know we have either -inf or inf and we definitely know we have a va at x=10 since we get something/0 where the something isn't 0 when pluggin in 10
freckles
  • freckles
to determine if we have -inf or inf look at the y values
freckles
  • freckles
determine if they are negative or positive to the left of x=10
anonymous
  • anonymous
negative, getting smaller
freckles
  • freckles
|dw:1433572044573:dw| these points are getting lower and lower
freckles
  • freckles
yes
freckles
  • freckles
well they actually call it negative large or negative infinity
anonymous
  • anonymous
ok, is there anything else i need to answer this question?
freckles
  • freckles
if wanted the right limit that would look like this in pretty math symbols \[\lim_{x \rightarrow 1^+}\frac{1}{x-10}\] |dw:1433572155988:dw| so from the right you would say the y's approach positive infinity or just infinity anyways answer to your question is do you do a table because it ask for a table too not just a graph
freckles
  • freckles
|dw:1433572247181:dw| chose some values of x and found out what the corresponding y value is like you can probably use the one's in the table or maybe use x=5 x=9 x=9.05 x=9.99 x=9.99 you are just trying to figure out what is happening to 1/(x-10) for those x's

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