Question
Derek threw a tennis ball 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)
1 15
2 20
3 15
4 0
Which of the following is represented by the x-intercept of f(t)?
The ball touches the ground after 4 seconds.
The ball was thrown from a height of 0 meters.
The ball reaches a maximum height of 20 meters.
The ball reaches the maximum height in 2 seconds.
Time (t)
(in seconds) Height f(t)
(in meters)
1 15
2 20
3 15
4 0
Which of the following is represented by the x-intercept of f(t)?
The ball touches the ground after 4 seconds.
The ball was thrown from a height of 0 meters.
The ball reaches a maximum height of 20 meters.
The ball reaches the maximum height in 2 seconds.
Answers
GPT-4o mini
The x-intercept of a function represents the point where the function's value is zero. In the context of this problem, the x-intercept of the height function \( f(t) \) represents the time when the height of the tennis ball above the ground is zero.
Looking at the table provided, we see that at \( t = 4 \) seconds, the height \( f(4) = 0 \), which means the ball touches the ground at this time.
Therefore, the correct interpretation of the x-intercept of \( f(t) \) is:
**The ball touches the ground after 4 seconds.**
Looking at the table provided, we see that at \( t = 4 \) seconds, the height \( f(4) = 0 \), which means the ball touches the ground at this time.
Therefore, the correct interpretation of the x-intercept of \( f(t) \) is:
**The ball touches the ground after 4 seconds.**