Is the height of a rocket a function of time? explain.

Yes, the height of a rocket is a function of time.

This is because as the rocket lifts off, the height above the ground is in relation to how much time it takes to get there.  Therefore, this is a function.

You can also think of it this way.  A set of coordinate pairs is a function if all values in the domain, or the input, have exactly one value in the range, or the output.  When the rocket is taking off, the amount of time it has taken to go up is the domain, and it will always relate to exactly one value of the range, which is how high the rocket has traveled up.

Hope this helps! :)