the function f(x) is the height of a model rocket x seconds after launch. the rocket reaches its maximum height in 2 seconds and hits the ground at 4 seconds. what is the practical domain for the function f(x)?
0=<x<=4.0
Bobpursley would that mean all whole numbers in [0,4] or all real numbers OR all intergers in [0,4]? Or would it just be [0,4]
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)?
the domain of x is all values, integer or not, between zero and 4 seconds, but definition those are real numbers. We do not time in the complex domain. As "practical", before time zero, it was not moving, nor was it moving after 4 seconds. If it hits the ground at five seconds, instead of four seconds,
0=<x<=5
To determine the practical domain for the function f(x), we need to consider the physical constraints of the situation. In this case, we know that the rocket reaches its maximum height at 2 seconds and hits the ground at 4 seconds.
The domain of the function f(x) represents the possible values for x, which in this case represents time. Since the rocket is launched and reaches its maximum height in a finite period of time, we can say that the practical domain for f(x) is from 0 seconds (when the rocket is launched) to 4 seconds (when the rocket hits the ground), inclusive:
Domain: 0 ≤ x ≤ 4
In other words, the rocket's height function is valid and defined for any time between 0 and 4 seconds, including both endpoints.