Question

Suppose the function H(t) gives the heart rate of a runner at various points in time (in minutes) during a 5 mile run, which takes the runner 57 minutes and 30 seconds to complete. The runner's heart rate never goes above 185 beats per minute. Describe an appropriate domain this function

Answer 1

[0, 57.5]

OR

0 - 57.5

Explanation:

Given the function
`H(t)` which gives the heart rate as per time.

That means Heart rate of the runner changes according to time.

`H(t)` is a function which takes Time as input as observed by the function's representation. In bracket, there is
`t`.

That also means time
`t` is the input to the function
`H(t)`.

It is also given that during the time as the runner runs, the heart beat will change.

The output of the given function will be Heart beat of the runner.

Time taken to complete the run is given as 57 minutes and 30 seconds.

Domain of a function is the valid inputs that can be given to the function for which the output of the function is defined.

Here, time in minutes is the input to the function.

So, maximum time can be 57.5 minutes.

And as the runner will start from the time = 0 minutes

So, the valid inputs can be from 0 to 57.5 minutes.

Therefore, the domain is [0, 57.5]

OR

0 - 57.5