A football is thrown into the air. It reaches a maximum height of 12 yards and lands 82 yards from where it was thrown. Which answer represents the domain, in terms of the context?(1 point) Responses x : all real numbers x: all real numbers 12≤x≤82 12≤x≤82 0≤x≤82 0≤x≤82 0≤x≤12

Answer 1

In the context of the problem, we are considering the horizontal motion of the football thrown into the air. The domain represents the range of possible horizontal positions of the football as it travels from where it was thrown to where it lands.

Since the football is thrown from a starting point (we can consider this as \(x = 0\)) and lands 82 yards away, the domain in this context would include all positions from the starting point to the landing point. Therefore, the appropriate representation of the domain is:

0 ≤ x ≤ 82

This means that the football is thrown from the starting position (0 yards) and lands at 82 yards.