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The question in the image defines the height of a rocket \( h(t) \) as a function of time \( t \), where \( h(t) \) represents the height above the ground in feet at time \( t \) seconds after launch. 

The statements given are:
- \( h(1) = 200 \): This means that 1 second after the rocket has been launched, it is 200 feet above the ground.
- \( h(2) = 350 \): This means that 2 seconds after the rocket has been launched, it is 350 feet above the ground.

Thus, these values indicate the rocket’s height at specific moments in time.

Would you like further details or explanations regarding this concept?

Here are 5 related questions to expand this information:

1. What would the height of the rocket be at \( t = 3 \) seconds if given more data?
2. How would you find the rate of change of the rocket's height between \( t = 1 \) and \( t = 2 \)?
3. If the height \( h(t) \) was modeled by a quadratic function, what other information would be needed to find that function?
4. Could you determine the maximum height the rocket reaches with the current data?
5. How would you interpret \( h(t) \) if the rocket started falling after reaching a peak height?

**Tip:** When interpreting functions, always pay attention to what the independent variable (in this case, time \( t \)) and the dependent variable (here, height \( h(t) \)) represent, as they help describe real-world situations clearly.

Let h(t) be the height above ground, in feet, of a rocket t seconds after launching. Explain the meaning of each statement: h(1) = 200, h(2) = 350.

Learn how to interpret the function h(t), which represents the height of a rocket in feet after t seconds. The problem explains the rocket's height at 1 and 2 seconds, providing insight into function-based growth and rate of change. Suitable for Grades 9-12.

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