The increase in a person’s body temperature t(t), above 98.6ºf, can be modeled by the function t(t)=(4t)/(t^2 +1), where t represents time elapsed. what is the meaning of the horizontal asymptote for this function? the horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºf as time elapses. the horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºf as time elapses. the horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºf as time elapses. the horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºf as time elapses.