Question

the x-intercepts ( or zeros) of a function are the point(s) where the function crosses or touches the x-axis, or where y=0. The x-intercepts of B(x) are (1,0) and (5,0). This means that the height of the bird above sea level was 0 meters after 1 second and 5 seconds. if the x-intercepts of D(x) are (2,0) and (6,0) then what do these points of D(x) mean in context.

Answer 1

The x-intercepts of the function \( D(x) \), which are (2,0) and (6,0), represent the times (in seconds) when the height of the bird above sea level is 0 meters. In this context:

- The point (2,0) means that the bird was at sea level (0 meters) after 2 seconds.
- The point (6,0) indicates that the bird returned to sea level (0 meters) after 6 seconds.

These intercepts suggest that during the time interval between 2 and 6 seconds, the bird was either flying above sea level or moved downward to touch the sea level again at 6 seconds. The function's behavior between these points could indicate whether the bird was climbing, descending, or possibly hovering above sea level at different intervals.