Question

the speed of a hockey puck x seconds after a hockey stick strikes it is given by the function f(x). the speed is measured in feet per second. what does f(0.5) = 150 tell you? exactly 0.5 seconds after being struck, the puck has traveled 150 feet. exactly 0.5 seconds after being struck, the puck is moving 150 feet per second.

Explanation:

The function \( f(x) \) represents the speed of the hockey puck \( x \) seconds after being struck. In a function \( y = f(x) \), \( x \) is the input (independent variable) and \( y\) (or \( f(x)\)) is the output (dependent variable). Here, the input \( x = 0.5\) represents the time (in seconds) after the puck is struck, and the output \( f(0.5)=150\) represents the value of the function (speed) at that time. Since the function \( f(x)\) is defined as speed (in feet per second), when \( x = 0.5\) (0.5 seconds after being struck), the value of the function (speed) is 150 feet per second.

Answer:

Exactly 0.5 seconds after being struck, the puck is moving 150 feet per second.