Question
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x , the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
A. 0≤x≤230
A. 0≤x≤230
B. 6≤y≤36
B. 6≤y≤36
C. 0≤y≤36
C. 0≤y≤36
D. 6≤x≤230
A. 0≤x≤230
A. 0≤x≤230
B. 6≤y≤36
B. 6≤y≤36
C. 0≤y≤36
C. 0≤y≤36
D. 6≤x≤230
Answers
GPT-4o mini
To determine the correct domain of the function for the given situation, we need to focus on the variable \( x \), which represents the horizontal distance in yards from the tee box.
In the context of the problem, the ball is hit from a tee box that’s 6 yards above the ground and will travel horizontally as it moves. The distance \( x \) should start from the tee box (0 yards) and stop when the ball lands, which, according to the given choices, appears to be at 230 yards.
Therefore, the domain, which indicates the range of \( x \) values (horizontal distance from the tee box), is represented by:
**A. \( 0 \leq x \leq 230 \)**
This implies that the ball starts at the tee box (0 yards) and can travel horizontally up to 230 yards before it lands. So, the correct answer is:
**A. \( 0 \leq x \leq 230 \)**.
In the context of the problem, the ball is hit from a tee box that’s 6 yards above the ground and will travel horizontally as it moves. The distance \( x \) should start from the tee box (0 yards) and stop when the ball lands, which, according to the given choices, appears to be at 230 yards.
Therefore, the domain, which indicates the range of \( x \) values (horizontal distance from the tee box), is represented by:
**A. \( 0 \leq x \leq 230 \)**
This implies that the ball starts at the tee box (0 yards) and can travel horizontally up to 230 yards before it lands. So, the correct answer is:
**A. \( 0 \leq x \leq 230 \)**.