Question

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 distance 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?

Answer 1

Let's solve this problem. We know the equation of the height of the ball that is:

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

Where x represents the horizontal distance in yards the ball has traveled in the air. We know that a distance is always positive, so we conclude that x must be greater or equal than 0, so:

$x \geq 0$

The horizontal plane represents the zero of the function, given that there is no possibility for the ball to get negative values, then $f(x)$ is also positive. Finally, from the graph, the appropriate domain is:

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