Question

Select the correct answer. jonathan and timothy are playing on a seesaw during recess. the height, in feet, of timothy after x seconds is represented by the graph below. the graph shows seesaw`s motion time in seconds on the x-axis and height in feet on f of x. the wave starts from (0, 4), (0, 3), (6, 4), (0, 9), (13, 4), (0, 15.5), (19, 4), and (21, 0). the function describing this graph is a transformation of the parent cosine function, . which interval best describes the range of the transformed function? a. b. c. d.

Answer 1

The range of the transformed function representing Timothy's height on the seesaw is [4, 0].

1. Initial Position: The graph starts at (0, 4), indicating that Timothy's initial height is 4 feet.

2. Upward Motion: At x = 6 seconds, the height is 4 feet again. This implies that Timothy goes up to 4 feet in the first 6 seconds.

3. Downward Motion: At x = 13 seconds, the height is 4 feet again. This means Timothy goes down to 4 feet in the next 7 seconds.

4. Upward Motion: At x = 19 seconds, the height is 4 feet. Timothy goes up to 4 feet in the next 6 seconds.

5. Final Position: At x = 21 seconds, the height is 0 feet. This indicates that Timothy reaches the ground after 21 seconds.

Based on these observations, Timothy's height oscillates between 4 feet and 0 feet. Therefore, the range of the transformed function is [4, 0].