Question

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.

Answer 1

Answer:Option A is correct.

The horizontal asymptote of y=0 means that the person's temperature will approach 98.6°F as time elapses.

Step-by-step explanation:

Answer on Edgen

Answer 2

Horizontal asymptote is what happens to T(f) as t becomes extremely large (approaches infinity).  The horizontal asymptote is the line which T(t) approaches as t goes to infinity, i.e. the line y=0. This means that the person's body temperature will approach 0ºF above 98.6ºF as t goes to infinity. 
i.e. the person's body temperature will approach 98.6ºF as time lapses. The first option.