Questions: The image contains a graph or chart plotting two curves, one in red and one in blue, on a gridded coordinate plane. The curves appear to represent mathematical functions plotted against the x-axis. At several points along the x-axis, the values -3, 0, 2, and 3 are labeled.

The image contains a graph or chart plotting two curves, one in red and one in blue, on a gridded coordinate plane. The curves appear to represent mathematical functions plotted against the x-axis. At several points along the x-axis, the values -3, 0, 2, and 3 are labeled.

Transcript text: The image contains a graph or chart plotting two curves, one in red and one in blue, on a gridded coordinate plane. The curves appear to represent mathematical functions plotted against the x-axis. At several points along the x-axis, the values -3, 0, 2, and 3 are labeled.

Solution

Solution Steps

Step 1: Identify the Functions

The graph shows two functions, one in red and one in blue.
The red function appears to be a sine or cosine function.
The blue function also appears to be a sine or cosine function.

Step 2: Determine the Intersections

Identify the points where the red and blue functions intersect.
From the graph, the intersections occur at approximately \( x = -1 \), \( x = 0 \), and \( x = 1 \).

Step 3: Analyze the Behavior of Each Function

The red function starts at a negative value, increases to a positive peak, decreases to a negative trough, and then increases again.
The blue function starts at a positive value, decreases to a negative trough, increases to a positive peak, and then decreases again.