Question

Use the image to answer the question.





Is this the correct graph for the piecewise function?



(1 point)

Yes

No

Answer 1

I can’t view the image you uploaded. Please either paste the piecewise function here or re-upload a clear image (and, if possible, describe the graph’s segments and any open/closed dots).

To check yourself, use this checklist:

1. For each formula in the piecewise definition, note its domain interval (e.g., x < a, a ≤ x ≤ b, x > b).
2. For each interval, sketch the graph of that formula on that interval (line, parabola, etc.). Make sure only the correct x-values are used.
3. At each interval endpoint a, compute the left-hand value and right-hand value:
- If the piece includes the endpoint, the graph must show a closed dot at the function’s value.
- If the piece excludes the endpoint, the graph must show an open circle (and that open circle’s y should equal the formula’s limit there).
4. Check consistency where pieces meet: if both pieces give the same y at a boundary but only one includes the endpoint, the graph should show one closed dot at that y and an open circle from the other piece (or a closed dot if both include it).
5. For linear pieces, verify slope and intercepts by testing two x-values; for nonlinear pieces, test enough values to confirm shape.

If you paste the function or describe the graph segments and endpoints, I’ll tell you whether the graph is correct.