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. what are the x-intercepts of D(x) and what do these points mean in context.

1 answer

To answer your question about the x-intercepts of \( D(x) \) in a similar context to \( B(x) \), we first need to clarify that the x-intercepts of any function represent the points where the output (y-value) equals zero. In the given context regarding the height of a bird above sea level, the x-intercepts correspond to the times at which the bird is at 0 meters above sea level.

Let's assume that \( D(x) \) represents another function related to the height of the same bird or another bird. Without specific values or a mathematical expression for \( D(x) \), I can't provide the exact x-intercepts.

However, if we were to identify hypothetical x-intercepts for \( D(x) \), for instance, let's say \( D(x) \) has x-intercepts at \( (2,0) \) and \( (7,0) \). This would mean:

  • The bird is at 0 meters above sea level after 2 seconds.
  • The bird is again at 0 meters above sea level after 7 seconds.

In the context, these points might indicate moments when the bird dives below sea level (if we consider 0 meters as sea level) and then either ascends again to sea level or perhaps continues its flight at a different height.

If you have specific values or further details about function \( D(x) \), feel free to provide them, and I can help find the x-intercepts and their meaning more accurately!