Since x has degree less than x^2-100, the horizontal asymptote is y=0
since x^2-100 = 0 at x = ±10, and x≠0, those are the vertical asymptotes
I find the function unrealistic. It implies negative concentrations, going off the charts as time increases. I suspect a function like x/(x^2+100) would be more like it. It starts with zero concentration, builds up as the pill is digested, and then tapers off at the medicine is metabolized.
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find:
A) the horizontal or oblique asymptote
B) the vertical asymptote, if any
C) describe their meanings
f(x)=x/x^2-100
1 answer