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.
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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To determine which statements about the graph are true, let’s analyze each one:
1. Each input generates an output value.
True – In a function, each input (or x-value) corresponds to exactly one output (or y-value).
2. As time increases, the height always increases.
False – If the graph displays a periodic function (like a sine or cosine wave), the height may increase and then decrease as time continues.
3. The input of height generates an output value of time.
False – Typically, in a graph where height is a function of time, height is the output (y-value), not the input.
4. After 60 seconds, the graph will display a second rotation, which looks the same.
True – This suggests the graph is periodic, meaning it repeats its values after a certain period (like a circle).
5. The graph shows the relationship of time to height.
True – If height is plotted against time, the graph effectively shows how height changes with time.
In summary, the true statements are: 1, 4, and 5. If you need more in-depth assistance, feel free to check our extended services page!