Question
End behavior of graph:
The graph is decreasing from 5 on the y axis
Has one point on 5 on the y axis(0, 5)
Has one point on (3, 3)
Has one point on (6, 1)
What is the answer:
0, infinity
1, 8
0, 10
10, 135
7, 25
0, 5
0, 8
1, 8
1, 9
0, 20
as x arrow -infinity arrow -infinity; as x arrow +infinity, y arrow + infinity
(- infinity, + infinity)
as x arrow - infinity, y arrow + infinity; as x arrow + infinity, y arrow - infinity
The graph is decreasing from 5 on the y axis
Has one point on 5 on the y axis(0, 5)
Has one point on (3, 3)
Has one point on (6, 1)
What is the answer:
0, infinity
1, 8
0, 10
10, 135
7, 25
0, 5
0, 8
1, 8
1, 9
0, 20
as x arrow -infinity arrow -infinity; as x arrow +infinity, y arrow + infinity
(- infinity, + infinity)
as x arrow - infinity, y arrow + infinity; as x arrow + infinity, y arrow - infinity
Answers
GPT-4o mini
To analyze the end behavior of the graph based on the description you provided, let’s summarize the critical points:
1. The graph has a point at (0, 5) - which is on the y-axis at y = 5.
2. It has another point at (3, 3).
3. It has a third point at (6, 1).
4. The end behavior of the graph is described as decreasing from y = 5 when x approaches negative infinity.
From this information, we can infer the following about the end behavior of the graph:
- As \( x \) approaches \(-\infty\), the value of \( y \) seems to be decreasing, so we can deduce that \( y \) approaches \(-\infty\).
- As \( x \) approaches \(+\infty\), since the last point is at (6, 1) and the graph continues to decrease, it indicates that \( y \) is also \( -\infty\) as \( x \) approaches \( +\infty\).
Thus, the overall pattern suggests that at both ends of the x-values (i.e., as \( x \) approaches \(-\infty\) and \(+\infty\)), \( y \) decreases indefinitely.
Therefore, we conclude that the correct answer is:
**as \( x \) approaches \(-\infty\), \( y \) approaches \(-\infty\); as \( x \) approaches \(+\infty\), \( y \) approaches \(-\infty\)**.
This matches with the choice:
- **as \( x \) arrow \(-\infty\), \( y \) arrow \(+\infty\); as \( x \) arrow \(+\infty\), \( y \) arrow \(-\infty\)** is the closest match indicating the general behavior of the graph is drifting downwards as it moves right, not actually fitting any of the other specific numerical ranges provided.
So, given the choices and the analysis, the graph behavior looks like the last choice makes sense for general understanding. However, none of the specific numeric ranges (like (0, 5) etc.) actually describe end behavior correctly due to their finite nature.
1. The graph has a point at (0, 5) - which is on the y-axis at y = 5.
2. It has another point at (3, 3).
3. It has a third point at (6, 1).
4. The end behavior of the graph is described as decreasing from y = 5 when x approaches negative infinity.
From this information, we can infer the following about the end behavior of the graph:
- As \( x \) approaches \(-\infty\), the value of \( y \) seems to be decreasing, so we can deduce that \( y \) approaches \(-\infty\).
- As \( x \) approaches \(+\infty\), since the last point is at (6, 1) and the graph continues to decrease, it indicates that \( y \) is also \( -\infty\) as \( x \) approaches \( +\infty\).
Thus, the overall pattern suggests that at both ends of the x-values (i.e., as \( x \) approaches \(-\infty\) and \(+\infty\)), \( y \) decreases indefinitely.
Therefore, we conclude that the correct answer is:
**as \( x \) approaches \(-\infty\), \( y \) approaches \(-\infty\); as \( x \) approaches \(+\infty\), \( y \) approaches \(-\infty\)**.
This matches with the choice:
- **as \( x \) arrow \(-\infty\), \( y \) arrow \(+\infty\); as \( x \) arrow \(+\infty\), \( y \) arrow \(-\infty\)** is the closest match indicating the general behavior of the graph is drifting downwards as it moves right, not actually fitting any of the other specific numerical ranges provided.
So, given the choices and the analysis, the graph behavior looks like the last choice makes sense for general understanding. However, none of the specific numeric ranges (like (0, 5) etc.) actually describe end behavior correctly due to their finite nature.