To determine which x-value indicates no movement according to the given intervals, we need to analyze the intervals provided and understand what they mean in terms of movement.
- −5 ≤ x ≤ 5: This range indicates movement over a total span from -5 to 5.
- −2 ≤ x ≤ 1: This range indicates movement from -2 to 1.
- −5 ≤ x ≤ −2: This range indicates movement from -5 to -2.
- 1 ≤ x ≤ 4: This range indicates movement from 1 to 4.
For an object to be considered at rest or indicating "no movement," it would typically be represented by an interval that does not cover any range of values (or is static at a single point).
Among the provided intervals, none directly represent a "no movement" scenario, as all intervals indicate some movement. However, if we look for the interval that signifies the smallest range of movement that could be perceived as "no movement," we might examine the edges or boundaries of other intervals.
Still, if we want to conclude where there could be no movement, we can consider:
- If the object were static at a single x-value, that would represent no movement — but that's not directly represented in any non-overlapping intervals provided.
If you consider relative positions within these intervals, x-values at the edges of any interval might imply potential stasis before movement occurs, but they still represent boundaries of movement.
In summary, while none of the intervals indicate "no movement," finding locations of static points would involve examining a graph more closely. If you're working from a graph that includes these intervals, the specific locations where the graph crosses the x-axis or remains horizontal for an extended period would indicate no movement.
Thus, technically only an exact x-value where the object does not move could be declared as “no movement.” If you need to choose based strictly on the provided ranges, there is no definitive "no movement" interval among those listed.