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Which statements about the graph are true? Check all that apply.

Which statements about the graph are true? Check all that apply.
Each input generates an output value.
As time increases, the height always increases.
The input of height generates an output value of time.
After 60 seconds, the graph will display a second rotation, which looks the same.
The graph shows the relationship of time to height.




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1 Answer

  1. To determine which statements about the graph are true, let’s analyze each one based on common graph characteristics:

    1. Each input generates an output value.

    True. This is generally true for functions represented graphically.

    2. As time increases, the height always increases.

    This may be false depending on the graph’s nature. If the graph oscillates or has peaks and valleys, height might not always increase.

    3. The input of height generates an output value of time.

    False, unless the graph is specifically defined to allow height to be the independent variable. Usually, time is the independent variable.

    4. After 60 seconds, the graph will display a second rotation, which looks the same.

    This could be true if the graph represents a periodic function, such as a sine or cosine wave.

    5. The graph shows the relationship of time to height.

    True. The graph typically represents one variable in relation to another, in this case, time and height.

    So, the true statements are likely to be:

    – 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.

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