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Mathematics 21 Online
OpenStudy (anonymous):

please graph this: f(x)=1/x+1

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

\[\Large \frac{1}{x} + 1\] or \[\Large \frac{1}{x + 1}\] ??

OpenStudy (anonymous):

second one

jimthompson5910 (jim_thompson5910):

ok the quickest way is to use a graphing calculator, do you have one?

OpenStudy (anonymous):

no i dont:(

jimthompson5910 (jim_thompson5910):

ok that's fine, I'm going to post what I got

OpenStudy (anonymous):

okay can you graph it, and make the graph look like the one i posted?

jimthompson5910 (jim_thompson5910):

ok here it is (see attached) the vertical asymptote is x = - 1 the horizontal asymptote is y = 0 There are NO x-intercepts The y-intercept is (0,1)

OpenStudy (anonymous):

alright what is the domain, and the range?

jimthompson5910 (jim_thompson5910):

domain: set of all real numbers BUT x cannot equal -1 range: set of all real numbers BUT y cannot equal 0 Notice how the domain is based off of what the vertical asymptote is Notice how the range is based off of what the horizontal asymptote is

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