Use the image to answer the question.

Question

A coordinate plane with solid, dotted and dotted dashed lines plotted. Both axes ranges from negative 5 to 5 in unit increment.

If the graph models the movement of an object, which of the following x-values indicates no movement?

(1 point)
Responses

−5≤x≤5
negative 5 less-than-or-equal-to x less-than-or-equal-to 5

−2≤x≤1
negative 2 less-than-or-equal-to x less-than-or-equal-to 1

−5≤x≤−2
negative 5 less-than-or-equal-to x less-than-or-equal-to negative 2

1≤x≤4
1 less-than-or-equal-to x less-than-or-equal-to 4
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Answer 1

To determine which of the provided x-values indicates no movement, we need to look for the interval where the object's position remains constant.

1. −5≤x≤5 - This range indicates the object can move from -5 to 5, so there is movement.
2. −2≤x≤1 - This range indicates the object can move from -2 to 1, so there is also movement.
3. −5≤x≤−2 - This range indicates the object can only move between -5 and -2, so there is movement as well.
4. 1≤x≤4 - This range indicates the object can move from 1 to 4, so there is movement here too.

In conclusion, none of the provided options indicate an interval where there is no movement at all given the ranges listed. Movement is present in all the specified ranges. If the question implies looking for stability or a lack of movement at a specific point (such as a single location), we would need more context from the graph. However, based purely on the x-value ranges given, all options denote movement in some capacity.