Math  /  Trigonometry

QuestionClaire is swinging from the tip of a branch of a big tree. The horizontal distance between Claire and the trunk of the tree, in meters, is modeled by D(t)D(t) where tt is the time in seconds. The function is graphed below, along with one segment highlighted.
Answer two questions about the highlighted segment. 1) Which feature of the graph corresponds to the highlighted segment?
Choose 1 answer: (A) Midline (B) Amplitude (C) Period 2) What is the meaning of thighighted segment?
Choose 1 answer: (A) The tip of the branch is 2 meters from the trunk. (B) The furthest Claire gets from the tip of the branch is 2 meters. (C) Claire completes a cycle every 2 seconds. (D) Claire completes 2 cycles per second.

Studdy Solution
The highlighted segment spans from t=0 t = 0 to t=2 t = 2 seconds, indicating the time it takes for the function to complete one full oscillation.
This means that Claire completes a cycle every 2 seconds.
The answers to the questions are:
1) The feature of the graph corresponding to the highlighted segment is the: Period\boxed{\text{Period}}
2) The meaning of the highlighted segment is: Claire completes a cycle every 2 seconds.\boxed{\text{Claire completes a cycle every 2 seconds.}}

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