Question
Identify the intervals where the function is changing as requested.
Increasing
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
x
y
x y graph
.
.
.
Question content area right
Part 1
A.
(minus3,3)
B.
(minus2,infinity)
C.
(minus3,infinity)
D.
(minus2,2)
Increasing
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
x
y
x y graph
.
.
.
Question content area right
Part 1
A.
(minus3,3)
B.
(minus2,infinity)
C.
(minus3,infinity)
D.
(minus2,2)
Answers
GPT-4o mini
To determine where the function is increasing based on the intervals provided, you would typically look at the graph of the function to see where the y-values are rising as the x-values increase.
Here’s a brief way to analyze the given options without seeing the actual graph:
- **Option A: \((-3, 3)\)** - This interval suggests that the function is increasing between \(x = -3\) and \(x = 3\).
- **Option B: \((-2, \infty)\)** - This implies that the function is increasing from \(x = -2\) onward.
- **Option C: \((-3, \infty)\)** - Indicates that the function is increasing from \(x = -3\) onward.
- **Option D: \((-2, 2)\)** - Suggests that the function is increasing between \(x = -2\) and \(x = 2\).
To find the intervals where the function is increasing, you would look for regions on the graph where, as you move from left to right (increasing the x-values), the y-values are also increasing.
### Steps to analyze:
1. Check sections of the graph, note where the slope (rise/run) is positive.
2. Identify transitions where the function shifts from increasing to decreasing.
3. Confirm which of the listed options reflect those increasing regions.
Without the actual graph, I can't definitively tell you which interval is correct. However, follow this analysis process and check the graph points to determine the correct answer among the choices given.
If you're unable to determine visually, checking values of \(y\) at key points on the given x-values could provide insight into whether the function is indeed increasing in each suggested interval.
Here’s a brief way to analyze the given options without seeing the actual graph:
- **Option A: \((-3, 3)\)** - This interval suggests that the function is increasing between \(x = -3\) and \(x = 3\).
- **Option B: \((-2, \infty)\)** - This implies that the function is increasing from \(x = -2\) onward.
- **Option C: \((-3, \infty)\)** - Indicates that the function is increasing from \(x = -3\) onward.
- **Option D: \((-2, 2)\)** - Suggests that the function is increasing between \(x = -2\) and \(x = 2\).
To find the intervals where the function is increasing, you would look for regions on the graph where, as you move from left to right (increasing the x-values), the y-values are also increasing.
### Steps to analyze:
1. Check sections of the graph, note where the slope (rise/run) is positive.
2. Identify transitions where the function shifts from increasing to decreasing.
3. Confirm which of the listed options reflect those increasing regions.
Without the actual graph, I can't definitively tell you which interval is correct. However, follow this analysis process and check the graph points to determine the correct answer among the choices given.
If you're unable to determine visually, checking values of \(y\) at key points on the given x-values could provide insight into whether the function is indeed increasing in each suggested interval.