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Graph 1

Graph 2

Graph 3

Graph 4

Graph 5

do you know how to find the vertical asymptotes ?

I am not sure how to do that. I was sadly not introduced throughly to the unit :(

http://www.purplemath.com/modules/asymtote.htm

For the first one, \(f(x) = \dfrac{1}{x+1}\)
take denominator =0, solve for x, what do you get?

knock knock!!! x +1 =0, x =??

ok! one moment

-1 ?

So that would make the domain for the first graph undefined then?

I only ask because I have to format it in sentence form

yup

it is not R/0. It is \(\mathbb R/\{0\}\). That the correct notation.

Yes. My computer would not let me copy that. That is what I meant

Would you mind helping me with the others?

what is the second function? \(f(x) = \dfrac{1}{x-2}+1\)??

x would equal 2 here. would this mean that the domain is all real numbers except for 2?

yup

and how would I find the range? i did not totally understand how you did that for the first graph

for domain, you see that x goes from -infinitive to + infinitive except x =2|dw:1438655384625:dw|

ok. I understand