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}`