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.

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.

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abidemiokin abidemiokin · Answer 2 · 2022-04-13T06:24:31-04:00

The person's body temperature will approach 98.6ºF as time lapses. Option A is correct.

How to calculate the horizontal asymptotes of a function?

A horizontal asymptote for a function is an imaginary line that is not part of the graph and lies along the x-axis of the graph either to the left or right.

The horizontal asymptote of the given function can be described as the nature of the function T(f) as t approaches infinity.

This is the point where the line y=0 which means that the person's body temperature will approach 0ºF above 98.6ºF as t goes to infinity.

You can learn more about asymptotes here: https://brainly.com/question/4138300