Question

It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters.

Answer 1

Given that,

An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.

Also it takes 209 seconds at an altitude of 8848 m.

To find,

The domain of T.

Solution,

Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :

$-418\le x \le 8848$

Therefore, this is the required solution.