Question

Suppose the function h(t) gives the heart rate of a runner at various points in time, t, during a 10 mile run. Select an appropriate domain for this function. Assume that the runner completed the 10 mile run in 112 minutes.

Write the domain of this function using interval notation.

Answer 1

Answer:

The domain of the function in interval notation is $[0,112]$

Step-by-step explanation:

Let

h(t) -----> the heart rate of a runner

t ----> the time in minutes

we know that

The runner completed the 10 mile run in 112 minutes

112 minutes is the maximum time of the domain

so

$0\ min \leq t \leq 112\ min$

The domain is all real numbers greater than or equal to 0 minutes and less than or equal to 112 minutes

In interval notation the domain is

$[0,112]$