Question
Bret threw a baseball up in the air. The following table represents the height f(t), in meters, of the ball above the ground at time t seconds:
Time (t)
(in seconds) Height f(t)
(in meters)
0 3
2 4
4 3
6 0
Which of the following is represented by the y-intercept of f(t)?
The ball touches the ground after 6 seconds.
The ball was thrown from a height of 3 meters.
The ball reaches a maximum height of 4 meters.
The ball reaches the maximum height in 2 seconds.
Time (t)
(in seconds) Height f(t)
(in meters)
0 3
2 4
4 3
6 0
Which of the following is represented by the y-intercept of f(t)?
The ball touches the ground after 6 seconds.
The ball was thrown from a height of 3 meters.
The ball reaches a maximum height of 4 meters.
The ball reaches the maximum height in 2 seconds.
Answers
GPT-4o mini
The y-intercept of the function \( f(t) \) represents the value of the height when \( t = 0 \). Looking at the provided table, when \( t = 0 \), the height \( f(0) = 3 \) meters.
This means that the height of the ball above the ground at the moment it was thrown (at \( t = 0 \)) was 3 meters.
Therefore, the correct interpretation of the y-intercept is:
**The ball was thrown from a height of 3 meters.**
This means that the height of the ball above the ground at the moment it was thrown (at \( t = 0 \)) was 3 meters.
Therefore, the correct interpretation of the y-intercept is:
**The ball was thrown from a height of 3 meters.**