A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y

Question

, of the ball from he ground after x
seconds.

(1 point)
Responses

0≤x≤2.5
0≤x≤2.5

0<x<5.5
0<x<5.5

2.5<x<5.5
2.5<x<5.5

x≥2
x is greater than or equal to 2
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Answer 1

To determine the intervals in which the ball is above the ground, we can analyze the height of the ball as depicted in the graph.

1. 0 ≤ x ≤ 2.5: This interval suggests that the ball is rising and possibly at its peak. Here, the height can be above ground.

2. 0 < x < 5.5: This interval extends beyond 2.5 seconds, suggesting that the ball may still be in the air and perhaps descending.

3. 2.5 < x < 5.5: This suggests a descent after the apex and until a certain time before impact.

4. x ≥ 2: This interval suggests the point in time from 2 seconds onwards, including when it is at its peak and on its way down.

To choose the correct interval based only on the description (without seeing the actual graph), identify where the graph indicates the ball's height is above zero:

• If the ball is still in the air technically after 2 seconds but not before, then the best option based on time above ground would be 0 < x < 5.5 or 2.5 < x < 5.5 depending on the specific points above the ground.

However, for clarity, if the ball is above ground and includes the ascent and descent, 0 < x < 5.5 covers the entire range before it lands.

If you can provide specific details about the graph or clarify what information you are seeking, I could refine this response.