The flight path of a golf ball is modeled by the function, F (X) = -0.0 2X^2 Plus 6X, we are X represents the horizontal distanc

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The flight path of a golf ball is modeled by the function, F (X) = -0.0 2X^2 Plus 6X, we are X represents the horizontal distanc

e and yards the ball has traveled in the air, and F (X) represents the height of the ball. What is appropriate dumm Plus 6 X, we are X represents the horizontal distance in yards the ball has traveled in the air, and F (X) represents the height of the ball. What is appropriate domain?

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-04-05T22:31:43+03:00

Let’s tackle the problem. We know the formula for the height of the ball is as follows:

 $f(x)=-0.02x^{2}+6x$

Here, x represents the horizontal distance in yards that the ball has traveled in the air. Given that distance is always a positive value, we conclude that x must be greater than or equal to 0. Thus:

 $x \geq 0$ 

The horizontal plane indicates the function's zero point, and since the ball cannot have negative height values, $f(x)$ must also remain positive. Ultimately, the graph reveals that the suitable domain is:

 $\boxed{0 \leq x \leq 300}$