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?
(1 point)
A. \(0\le x\le230\)
B. \(6\le y\le36\)
C. \(0\le y\le36\)
D. \(6\le x\le230\)
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?
(1 point)
A. \(0\le x\le230\)
B. \(6\le y\le36\)
C. \(0\le y\le36\)
D. \(6\le x\le230\)
Answers
GPT-4o mini
In this situation, we are dealing with the horizontal distance \(x\) that the golf ball travels from the tee box, which is located at a height of 6 yards.
The relevant aspect here for determining the domain is that the horizontal distance \(x\) must start from the tee box (where \(x = 0\)) and can extend to the maximum distance the ball can travel. Since the problem mentions the ball being hit from the tee and does not give an upper limit on distance beyond what's reasonable for a golf shot, it is appropriate to assume that the \(x\) values extend up to a certain point, which in typical golf circumstances could be around 230 yards.
Thus, the most appropriate domain for the horizontal distance \(x\) of the golf ball is from 0 to 230 yards.
Therefore, the correct answer for the domain of the function is:
**A. \(0 \leq x \leq 230\)**.
The relevant aspect here for determining the domain is that the horizontal distance \(x\) must start from the tee box (where \(x = 0\)) and can extend to the maximum distance the ball can travel. Since the problem mentions the ball being hit from the tee and does not give an upper limit on distance beyond what's reasonable for a golf shot, it is appropriate to assume that the \(x\) values extend up to a certain point, which in typical golf circumstances could be around 230 yards.
Thus, the most appropriate domain for the horizontal distance \(x\) of the golf ball is from 0 to 230 yards.
Therefore, the correct answer for the domain of the function is:
**A. \(0 \leq x \leq 230\)**.