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

Question

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

(1 point)
Responses

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

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

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

−5≤x≤−2

Answer 1

To determine which x-value interval indicates no movement, we need to consider the context of the graph, which models the movement of an object.

• The interval −2 ≤ x ≤ 1 suggests movement from -2 to 1.
• The interval −5 ≤ x ≤ 5 encompasses all values of x on the graph, indicating movement throughout that entire range.
• The interval 1 ≤ x ≤ 4 suggests movement from 1 to 4.
• The interval −5 ≤ x ≤ −2 suggests movement from -5 to -2.

Among these options, none of the intervals specifically indicates a state of no movement when examining movement as horizontal intervals on the graph.

However, if we consider a unit stationary point or no movement implies remaining constant over time, we might conclude that intervals where x takes a fixed value do not indicate 'movement' intuitively. But in absence of that specific implementation, all provided intervals suggest movement over their span.

Thus, none of the provided intervals explicitly indicate no movement. Therefore, without further context or clarification on how the object is modeled on the graph, it implies the question may not directly have an option indicating "no movement".