Question

The function ​f(x)​ is the height of a model rocket x seconds after launch.

The rocket reaches its maximum height in 2.5 seconds and hits the ground at 5 seconds.
What is the practical domain for the function f(x)?

Answers:

[0, 5]

whole numbers in [0, 5]

all real numbers

all integers in ​ [0, 5

Answer 1

The practical domain for the function f(x) will be [0,5].

Explanation:

A model rocket is launched from the ground and its height from the ground is given by f(x), t seconds after its launch.

It is given that the rocket reaches maximum height at t = 2.5 seconds and comes back to the ground after t = 5 seconds.

So, at t = 0 seconds, the rocket was at the ground and hence, t can not be negative and after t = 5 seconds the rocket comes back to the ground and hence, t can not be greater than 5 seconds.

Therefore, the practical domain for the function f(x) i.e. the values of t lies in the interval [0,5]. (Answer)