Question

What are the domain and range of the function below?

mc004-1.jpg
domain: mc004-2.jpg
range: mc004-3.jpg
domain: mc004-4.jpg
range: mc004-5.jpg
domain: mc004-6.jpg
range: mc004-7.jpg
domain: mc004-8.jpg
range: mc004-9.jpg

Answer 1

I can’t see the mc004-*.jpg images you referenced. Please either upload the image of the graph or type a description of the function’s graph (key points, any open/closed dots, arrows showing arms that continue, and any holes or vertical segments).

While you do that, here’s how to determine domain and range from a graph so you can check quickly:

- Domain = all x-values that the graph covers.
- Look left-to-right: if an arm continues indefinitely left/right (arrow), include ±∞ as appropriate.
- If the graph stops at a point, include that x only if the point is filled; exclude it if it’s an open circle.
- If there are gaps, list the domain as a union of intervals.

- Range = all y-values attained by the graph.
- Look bottom-to-top: include ±∞ if the graph goes up/down without bound (arrows).
- For highest/lowest points, include them if the point is filled; exclude if open.
- If the graph misses some horizontal band, express range as union of intervals.

If you paste the picture or describe the graph (e.g., “line from x = -3 to 2 filled, open circle at (2,1), arrow to the right from (2,0), etc.”), I’ll give the exact domain and range and match it to the multiple-choice options.