Exercise 41 Page 643

The ball lands when the function describing the path of the ball and the stand have the same value. Therefore, we should set the functions equal to each other and solve for $x.$ Let's start by simplifying the equation. To solve this equation we will use a graphing calculator. Note that we will need to change the window settings in order to see both graphs. To draw the function's graph , push the $\boxed{\text{Y}=}$ button and type the functions on the two first rows. Having written the functions, we can push $\boxed{\text{GRAPH}}$ to draw them.

The functions intercept at two points. However, we are only interested in the point where $x$ is positive, since distance cannot be a negative number. To find this point of intersection, push $\boxed{2nd}$ and $\boxed{CALC}$ and choose the fifth option, intersect. Finally, choose each curve and pick a best guess for the point of intersection.

As we can see, the ball lands $440$ feet away from the home plate and $60$ feet above the ground.