The person’s body temperature will approach 98.6ºF as time lapses,  The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.

A horizontal asymptote is  known to be that line that is  horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.

Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person’s body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.

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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.

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