The meaning of the horizontal asymptote for the given function is that;
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
We are told the increase in a person's body temperature above 98.6°F can be modeled by the function;
T(t) = 4t/(t² + 1)
Where;
t represents the time elapsed
Now, let us find a way to simplify the function so that t at the numerator is removed.
Thus, we will now have;
4t/(t² + 1) = 4/(t + (1/t))
To get the horizontal asymptote, we have to find the limit of the function as t approaches infinity.
Thus;
Lim t ➡ ∞ gives;
T(∞) = 4 × 1/(∞ + (1/∞))
T(∞) = 4 × 0
T(∞) = 0
This means that y = 0 is the horizontal asymptote of the function.
Thus, in conclusion The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
Read more on horizontal asymptote at; brainly.com/question/8493280
