Question

interpreting function notation
given ( h = f(t) ) where ( h ) is the height in meters of an object and ( t ) is the time in seconds since it was launched, which of the following is the best interpretation of ( f(1) = 20 )?

• the object is 20 meters in the air.
• 20 seconds after the object is launched it is traveling 1 meters per second.
• the object travels 20 meters for every 1 seconds.
• 1 seconds after the object is launched it is traveling 20 meters per second.
• 1 seconds after the object is launched it is 20 meters in the air.
• 20 seconds after the object is launch it is 1 meters in the air.
• the object travels 1 meters for every 20 seconds.

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Explanation:

Function notation \(H = f(t)\) means \(t\) (input) is time in seconds after launch, and \(f(t)\) (output) is height in meters. For \(f(1)=20\), the input \(t=1\) represents 1 second after launch, and the output 20 represents the height of the object at that time.

Answer:

1 seconds after the object is launched it is 20 meters in the air.