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Mathematics 11 Online
OpenStudy (iwanttogotostanford):

State

OpenStudy (iwanttogotostanford):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

So we're dealing with this? \[\Large f(x) = \frac{x+9}{x^2+2x+3}\]

OpenStudy (iwanttogotostanford):

sort of, what i got from the diagram is that my problem IS a horizontal asymptote, is that right?

jimthompson5910 (jim_thompson5910):

which case will apply here? 1? 2? 3?

OpenStudy (iwanttogotostanford):

and that I'm not sure of..

jimthompson5910 (jim_thompson5910):

is n < m true? is n = m true? is n > m true?

OpenStudy (iwanttogotostanford):

its either x, 0, or 9

OpenStudy (iwanttogotostanford):

m>n

jimthompson5910 (jim_thompson5910):

think of \(\Large x+9\) as \(\Large x^1+9\)

jimthompson5910 (jim_thompson5910):

yes or n < m

OpenStudy (iwanttogotostanford):

yes

jimthompson5910 (jim_thompson5910):

since n < m, this means that the x axis is the horizontal asymptote that's another way of saying "the equation y = 0 is the horizontal asymptote"

OpenStudy (iwanttogotostanford):

oh, so thats it y=0 is the horizontal asymptote? That makes a lot of sense!

jimthompson5910 (jim_thompson5910):

y = 0 lies perfectly on top of the x axis

OpenStudy (iwanttogotostanford):

so its right? and can i have help with one more??

jimthompson5910 (jim_thompson5910):

sure

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