Question

Use the image to answer the question.



What is the piecewise function for the graph?

(1 point)

Answer 1

I don’t have access to the image you mentioned. Could you either re-upload it or describe the graph (coordinates of the segment endpoints, whether endpoints are filled/open, and whether the pieces are lines, horizontal lines, etc.)?

If you want to find the piecewise function yourself, here are quick steps you can follow:

1. Identify the x-values where the graph changes behavior — these are the breakpoints for the domain intervals.
2. For each interval, determine the type of graph (line, constant, etc.). If it’s a line, pick two points (x1,y1) and (x2,y2) on that segment.
3. Compute the slope m = (y2 − y1)/(x2 − x1).
4. Write the line equation y = m x + b by solving for b using one point: b = y1 − m x1.
5. Combine the formulas with the appropriate domain conditions and indicate whether each endpoint is included (≤ or ≥) or excluded (< or >), depending on filled/open dots.

Example template:
y =
- m1 x + b1, for x < a
- m2 x + b2, for x ≥ a

If you send the image or the coordinates of key points, I’ll write the exact piecewise function.