Rocket Motion and Function Analysis

This video tutorial explains how to interpret the graph of a function, specifically focusing on a rocket's height over time. It covers identifying input and output variables, interpreting specific function values like h(5) = 82 and h(7) = 0, determining inputs for given outputs, finding the maximum height, and understanding the practical domain and range of the function.

What is the input variable in the graph of the function h(T)?

• Height of the rocket

• Time in seconds

• Distance in meters

• Speed in km/h

What does the statement h(5) = 82 signify in the context of the rocket's flight?

• The rocket lands after 82 seconds.

• The rocket is 82 feet above the ground after 5 seconds.

• The rocket is 5 feet above the ground after 82 seconds.

• The rocket reaches its maximum height after 5 seconds.

What is the height of the rocket after 7 seconds?

• 82 feet

• 50 feet

• 0 feet

• 100 feet

What does the ordered pair (7, 0) represent in the graph?

• The rocket is 0 feet above the ground after 7 minutes.

• The rocket reaches its maximum height after 7 seconds.

• The rocket lands after 7 seconds.

• The rocket is 7 feet above the ground after 0 seconds.

At what times is the rocket at a height of 50 feet?

• After 1 second and 6 seconds

• After 2 seconds and 5 seconds

• After 3 seconds and 4 seconds

• After 5 seconds and 7 seconds

What is the maximum height reached by the rocket?

• 50 feet

• 82 feet

• 75 feet

• 100 feet

What is the practical domain of the function h(T)?

• 0 to 5 seconds

• 0 to 7 seconds

• 1 to 6 seconds

• 0 to 10 seconds

What is the practical range of the function h(T)?

• 0 to 150 feet

• 0 to 100 feet

• 0 to 50 feet

• 0 to 82 feet

Why are the endpoints included in the practical domain of h(T)?

• Because they represent the average speed of the rocket.

• Because they represent the initial and final positions of the rocket.

• Because they represent the maximum height of the rocket.

• Because they represent the time the rocket is in the air.

In interval notation, how is the practical range of h(T) expressed?

• [0, 100]

• (0, 100]

• (0, 100)

• [0, 100)