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Use the graph below to answer the

following questions
-5 -4 3 -2 -1
y
60
40-
20-
-20+
-40-
-60+
1 2
+X
3 4 5
1. Estimate the intervals where the
function is increasing.
2. Estimate the intervals where the
function is decreasing.
3. Estimate the local extrema (give the
ordered pair for each answer).
4. Estimate the domain and range of this
graph.

Use the graph below to answer the following questions -5 -4 3 -2 -1 y 60 40- 20- -20+ -40- -60+ 1 2 +X-example-1
User Aboodrak
by
8.1k points

1 Answer

1 vote

Answer:1. The function is increasing in the intervals (-5, -2) and (3, 5).

2. The function is decreasing in the intervals (-4, -1) and (2, 3).

3. The local extrema are (-2, -40) and (2, 40).

4. The estimated domain is -5 ≤ x ≤ 5, and the estimated range is -60 ≤ y ≤ 60.

Step-by-step explanation:1. To estimate the intervals where the function is increasing, we look for sections of the graph where the y-values are getting larger as the x-values increase. From the graph, it appears that the function is increasing in the interval from x = -5 to x = -2 and also in the interval from x = 3 to x = 5.

2. To estimate the intervals where the function is decreasing, we look for sections of the graph where the y-values are getting smaller as the x-values increase. From the graph, it appears that the function is decreasing in the interval from x = -4 to x = -1 and also in the interval from x = 2 to x = 3.

3. To estimate the local extrema, we look for points where the function reaches a maximum or minimum value. From the graph, it appears that there is a local minimum at the point (-2, -40) and a local maximum at the point (2, 40).

4. To estimate the domain of the graph, we look at the x-values that are included in the graph. From the graph, it appears that the domain includes all x-values from -5 to 5.

To estimate the range of the graph, we look at the y-values that are included in the graph. From the graph, it appears that the range includes all y-values from -60 to 60.

User Niklas Holsti
by
7.9k points