Question

What are the domain and range of the function mc015-1.jpg?
domain: mc015-2.jpg
range: mc015-3.jpg
domain: mc015-4.jpg
range: mc015-5.jpg
domain: mc015-6.jpg
range: mc015-7.jpg
domain: mc015-8.jpg
range: mc015-9.jpg

Answer 1

I can help, but I can't see the image files you referenced. Could you either upload the four graph images or describe each graph (key points, arrows, open/closed dots, asymptotes)?

Meanwhile, here are quick reminders and the steps I will use once I can see the graphs:

1. Domain = set of all x-values for which the graph has points.
- If the curve extends left/right without bound (arrows), include −∞ or +∞: e.g. (−∞, ∞) or (−∞, a], etc.
- If there are endpoints shown with closed dots, include that x (use square bracket). If an endpoint is an open dot, exclude it (use parenthesis).
- If parts are disjoint, give a union of intervals, e.g. (−∞, −2) ∪ [1, 4].

2. Range = set of all y-values that appear on the graph.
- Same rules for min/max, open/closed at top/bottom, and unbounded behavior.
- Use interval notation or set-builder form.

3. How I will answer for each graph once I can see it:
- I’ll state domain as interval(s) (or set-builder),
- Then state range similarly,
- and note any endpoints that are open/closed if needed.

If you upload the four images (or type a short description for each, e.g. “line segment from (−2,1) closed to (3,4) open plus a ray to right starting at (3,2) closed”), I’ll compute the exact domain and range for each.