To determine which x-value indicates no movement in the context of a graph that models the movement of an object, we generally look for intervals where the position does not change.
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−5≤x≤5: This interval indicates movement from negative 5 to 5, covering the entire range.
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−2≤x≤1: This interval covers movement from negative 2 to 1, indicating active movement.
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−5≤x≤−2: This interval also indicates movement from negative 5 to negative 2.
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1≤x≤4: This interval indicates movement from 1 to 4.
None of the options indicate a range in which the object is stationary or has no movement (i.e., where the position does not change).
However, if there are specific values within these ranges that need to be noted for stationary points (like a horizontal line on a position vs time graph), we would expect an interval or specific points that suggest the object is not moving at all.
Based on your question, none of the provided intervals indicate "no movement" since they all suggest some movement by covering ranges of x-values. If you had a specific point where the object's position was constant, that would indicate no movement, but none of the options provided seem to imply that.
If you meant to inquire about specific values, measures, or a more detailed graph analysis, please clarify or provide additional context!