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takes a second to attach
did you factor the denominator?
what did you get
well. what hapenns when x approaches -6 or 3?
you get strange very positive or very negative numbers, correct? blah/((0.000000000000000000001)*(0.000000000000000000001-3))=some absurdly large number, right?
those very large and very small numbers we are looking at are close to the asymptotes.
so look back at that function. whenever the denominator gets close to zero we know we will get an asymptote basically. Well, you got (x-3)(x+6) as the denominator. if x gets close to 3, or if x gets close to -6, we get asymptotes. Make sense? you should be able to visualize what's going on algebraically and geometriclly. this is really important because you will meet the same kind of reasoning further in your studies (namely, limits in calculus)
Alright I understand now, thank you.
What I did was cross canceling the numerator : (x+6) by one of the binomials, (x-6), getting 1 over (x-3) lol
bahahahaha... you factored it right but still crossed x-6 with x+6?
Start using wolfram alpha
or use geogebra. I really would recommend graphing those functions with geogebra
you will really visualize everything
okay good, because I learn visually, thank so much for all your help tonight!