Question

A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which it takes 15 minutes at a constant rate. Determine the domain and range. com Height (leet) HU Time doinutes) NEVO The domain is The range is ISHS

Answer 1

The domain is the values of time t, in minutes, for which the function is defined.

The variable t goes from 0, when the plane takes off until it lands, at 15+120+15=150 minutes.

Then, the domain is:

`t\in\lbrack0,150\rbrack`

The range is the values that the function can take. In this case, it goes from the minimum (0 feet) the maximum altitude (30,000 feet), so the range is:

`H\in\lbrack0;30,000\rbrack`