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 mean in context.

Answer 1

In the context you provided, B(x) represents the height of a bird above sea level with respect to time in seconds, where the x-intercepts (1,0) and (5,0) indicate that the bird is at a height of 0 meters (i.e., at sea level) at 1 second and 5 seconds.

Similarly, for D(x), which seems to represent the height of a different bird (or perhaps the same bird under different conditions) above sea level in relation to time, the x-intercepts (2,0) and (6,0) imply that this bird is also at a height of 0 meters at two specific times: 2 seconds and 6 seconds.

So, in context:

- At 2 seconds, the bird (represented by D(x)) reaches sea level (0 meters).
- At 6 seconds, the bird again reaches sea level (0 meters).

Therefore, just like the zeros of B(x) tell us when the first bird was at sea level, the zeros of D(x) tell us when the second bird (or the first bird under different flight conditions) was at sea level. The points (2,0) and (6,0) indicate that the bird was at sea level at those specific times during its flight.