The user has provided an image containing a graph of a function and expects an analysis of the graph. The graph shows a piecewise linear function. I need to extract the coordinates of the vertices of this function and represent them in a structured format.

json
{
"graph_analysis": {
"function_type": "piecewise linear",
"vertices": [
{"x": 0, "y": 0},
{"x": 1, "y": -2},
{"x": 3, "y": -1},
{"x": 6, "y": -3},
{"x": 10, "y": -4}
],
"intervals": [
{"start_x": 0, "end_x": 1, "equation": "y = -2x"},
{"start_x": 1, "end_x": 3, "equation": "y = x - 3"},
{"start_x": 3, "end_x": 6, "equation": "y = -2/3*x + 5"},
{"start_x": 6, "end_x": 10, "equation": "y = -1/4*x - 9/2"}
]
}
}