Which interval for the graphed function contains the local
maximum?
1- [-1, 0]
2-[1, 2]
3-[2, 3]
4-[3, 4]

2-[1, 2]

Step-by-step explanation:

From the graph, we can conclude the following things:

1. The graph is of degree 4 as it intersects the x axis at 4 points.

2. The graph tends to infinity for increasing the value of 'x' along positive or negative x-axis.

3. The graph has 3 turning points between the intervals [-1, 0], [1, 2] and [2, 3]

4. Local maximum: The top of mountain of the graph represents local maximum. So, during the interval [1, 2], there is a local maximum.

5. Local minimum: The lowest point or the valley of the graph represents local minimum.

So, during the intervals [-1, 0] and [2, 3], there are local minimums.

Thus, there is only one local maximum during the interval [1, 2].