Question

Let the function M(t) = 12t represent the distance in miles that you would travel bicycling t hours.Assume you can bike no more than 13 hours. Find the practical domain and practical range for M(t).All answers must include correct units of measure.Practical Domain:

Answer 1

The least bicycling hours we can have are 0, we cannot have less than 0 hours (because time can't be measured negative) and we can have as much as 13 bicycling hours, then the domain of the function must be the set of values between 0 and 13, including 0 and 13 and it can be written like this:

0 ≤ t ≤ 13

In order to specify the range of the function we just have to evaluate the time values that we used for the domain, like this:

At t = 0

M(0) = 12(0) = 0

At t = 13

M(13) = 12(13) = 156

Then, the range of the function should be:

0 ≤ M(t) ≤ 156