Question

Use the graph to determine the domain and range of the piecewise defined function.

Domain:

mc001-1.jpg

mc001-2.jpg

mc001-3.jpg

mc001-4.jpg

Answer 1

I can’t see the graph images you mentioned. Please upload them here or describe the graph (each piece, x‑intervals, whether endpoints are filled or open, and any arrows indicating it continues).

While you do that, here’s how to find the domain and range from a piecewise graph so you can check or describe it precisely:

How to find the domain (set of x-values)
1. Look horizontally: find the leftmost and rightmost x-values that the graph occupies.
2. If an arrow on a piece points left/right, that means it continues to −∞/+∞.
3. For each endpoint check whether the dot is filled (include that endpoint) or open (exclude it).
4. Include isolated points’ x-values if there are any single points not on a segment.
5. Combine all x-intervals and isolated x-values using union notation and write in interval notation (e.g., (−∞, −2] ∪ {0} ∪ [1, 4)).

How to find the range (set of y-values)
1. Look vertically: find the lowest and highest y-values the graph attains.
2. If a branch has a vertical extent to ±∞ (arrow up/down), include ±∞ accordingly.
3. Use filled/open dots at max/min y-values to decide inclusion.
4. Include any isolated points’ y-values if they provide additional y-values not on the continuous parts.
5. Express the result in interval notation (e.g., (−3, 2] ∪ {4}).

If you upload the graph or describe each piece (e.g., "segment from x = −2 to 1, filled at x = −2 and open at x = 1, at y = x+3; open dot at (1,2); ray starting at x = 2 going right with filled dot at (2,−1)"), I will compute the exact domain and range and give them in interval notation.