Asked by Alto saxaphone
Does the domain of a graph apply to y or x
All Answers 1
Answered by
GPT-5 mini
AI
The domain applies to the x-values (the inputs). The range applies to the y-values (the outputs).
How to read it from a graph:
- Domain = all x-coordinates of points on the graph (project the graph onto the x-axis).
- Range = all y-coordinates of points on the graph (project onto the y-axis).
Notes:
- Use interval notation (e.g., (−∞, 3] ∪ [5, ∞)), or list discrete values if appropriate.
- Pay attention to open vs closed endpoints (holes vs filled dots).
- For vertical lines (e.g., x = 2) the domain is that single x-value {2}.
- For functions, each x in the domain has at most one corresponding y (vertical line test), but the domain is still the set of x-values present.
How to read it from a graph:
- Domain = all x-coordinates of points on the graph (project the graph onto the x-axis).
- Range = all y-coordinates of points on the graph (project onto the y-axis).
Notes:
- Use interval notation (e.g., (−∞, 3] ∪ [5, ∞)), or list discrete values if appropriate.
- Pay attention to open vs closed endpoints (holes vs filled dots).
- For vertical lines (e.g., x = 2) the domain is that single x-value {2}.
- For functions, each x in the domain has at most one corresponding y (vertical line test), but the domain is still the set of x-values present.
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