To determine which statements are true about the graph, we need to analyze each statement within the context of typical characteristics of graphs, particularly those related to height over time or motion patterns.
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Each input generates an output value.
- Generally true in the context of functions or graphs where for every input (such as time or height), there is an associated output value.
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As time increases, the height always increases.
- This statement is often false in the context of periodic graphs (like sine or cosine), where height can decrease as time increases (e.g., oscillating motion).
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The input of height generates an output value of time.
- This statement may be true if the graph represents a two-way relationship where height can lead to a specific time, but it depends on the graph itself. In many cases, especially if it’s a traditional function, it may not hold true.
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After 60 seconds, the graph will display a second rotation, which looks the same.
- True if the graph is periodic and completes a cycle every 60 seconds (like circular motion). This often applies to functions like sine or cosine.
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The graph shows the relationship of time to height.
- True if the graph is indeed plotting height as a function of time.
Based on the typical characteristics of such graphs, the likely true statements are:
- Each input generates an output value.
- After 60 seconds, the graph will display a second rotation, which looks the same.
- The graph shows the relationship of time to height.
The statements about height always increasing and height generating time are conditional and may not universally apply.