Correct answer only ! the function f(x) is the height of an object x seconds after it is thrown in the air. the object reaches its maximum height in 2 s, and hits the ground at 5 s. what is the practical domain for the function f(x)?

  D. [0, 5]

Step-by-step explanation:

Domain is all the x-values.  It is given that x is seconds (time).  

We know that time cannot be negative, so the lowest value x can be is 0, which represents the second it is about to be thrown.  So, the minimum value of x is 0 (inclusive).

The ball hits the ground at 5 seconds.  So it is no longer in the air after 5 seconds.  The maximum x-value is 5 (inclusive).

Time can be measured in seconds, milliseconds, or any part of a second so there are no restrictions that require the x-values to be whole numbers.

Minimum of 0 (inclusive) and maximum of 5 (inclusive) is: [0, 5]