Question

Which of the following graphs have the same domain?

mr002-1.jpg

mr002-2.jpg

mr002-3.jpg

mr002-4.jpg

Answer 1

I can’t see the images you attached. Please either upload the four graphs again or describe each one (what x-values are covered, any open/closed dots, vertical asymptotes or holes, and any isolated points). Then I’ll compare the domains and tell you which graphs share the same domain.

If you want to check it yourself, here’s how to determine and compare domains from graphs:

1. For each graph, list all x-values that are included.
- For continuous curves/lines, note the interval(s) of x that the curve covers.
- Include isolated points (single x-values) as singletons.
2. Pay attention to endpoints:
- Closed dot at x = a means include a.
- Open dot at x = a means exclude a.
3. Note vertical asymptotes or holes:
- Vertical asymptote at x = a means x = a is not in the domain.
- A hole at x = a (open dot) means x = a is excluded even if the curve approaches it.
4. Express each domain as a union of intervals and/or singletons, e.g. (-∞, -1) ∪ {-1/2} ∪ [0, 4).
5. Compare the interval unions exactly; if they match, the graphs have the same domain.

If you upload or describe the four graphs I’ll do the comparison for you.