Question

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

A. Each input generates an output value.
B. As time increases, the height always increases.
C. The input of height generates an output value of time.
D. After 60 seconds, the graph will display a second rotation, which looks the same.
E. The graph shows the relationship of time to height.

Answer 1

Answer: A,D,E

Step-by-step explanation:

Let’s walk through this with every possible option.

A: The input is the x axis, and since there is no x value that is used twice, this is true.

B: No. It is higher at 30 seconds than at 31 seconds, meaning that as time increases, the height does not always increase.

C: No. You cannot determine the time based on height. For example, at a height of 40, you don’t know if it’s at 20 or 40 seconds.

D: Yes. Assuming the picture on the left corresponds, it is a circle. Once you get to the original point, which is at 60 seconds, it will start all over again.

E: The time is the x axis, and the title is height, so yes.

Answer 2

The following statements are true about the graph given.

A. Each input generates an output value.

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

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

What is a graph?

A graph is a representation of the relationship between two or more sets of statistics or measures.

How do we solve the given question?

We are asked to find the true statements among the given statements about the graph.

We will check each statement at a time and check if it can be related to the given graph.

A. Each input generates an output value.

- True. As for every input of time, a value of height is generated.

B. As time increases, the height always increases.

- False. As time increases, initially the height increases, but after 30 sec, it starts to decline.

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

- False. As each height will have two time outputs. One when the rise of the graph is taking place, that is, till 30 sec, then the same value of height will give another time when the decline of height takes place.

For example, a height of 40 meters can be observed at times 15 sec and 45 sec.

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

- True. As the circle will complete one rotation in 60 seconds, its second starts just after that point in time, generating the same graph again.

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

- True. As the x-axis shows the time readings, and the label of the diagram is height, we can say that the graph shows the relationship of time to height.

∴ The following statements are true about the graph given.

A. Each input generates an output value.

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

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

Learn more about analyzing of graph at

https://brainly.com/question/25324951

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