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Determine the domain of the following graph:
x
y
x
y
Answer
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\phi
ϕ
or
 or 
union
∪
infinity
∞
is less than
<
is greater than
>
is less than or equal to
≤
is greater than or equal to
≥
open square bracket, comma, close square bracket
[,]
open square bracket, comma, right parenthesis
[,)
left parenthesis, comma, close square bracket
(,]
left parenthesis, comma, right parenthesis
(,)
All Real Numbers
 All Real Numbers 
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To determine the domain of a function from its graph, we look for the range of values along the \( x \)-axis where the function is defined (i.e., where the graph has points).

From the image, the graph starts at \( x = 0 \) and ends at \( x = 9 \). There are no breaks or discontinuities in the graph between these two points, so the domain includes all \( x \)-values from 0 to 9.

Thus, the domain of the graph is:
\[
[0, 9]
\]

Would you like further details on how the domain is determined from the graph or any other clarifications?

Here are some related questions:
1. How would the domain change if the graph had gaps or discontinuities?
2. What is the range of the function based on the graph?
3. How do we determine the maximum and minimum points of a graph visually?
4. Can the domain ever include infinity? Under what conditions?
5. How would the domain look for a vertical asymptote?

**Tip:** The domain is concerned only with the \( x \)-values where the function is defined, and any breaks in the graph will limit the domain.

Determine the domain of the following graph.

Learn how to determine the domain of a function based on its graph. This problem covers key concepts in graph analysis and helps students understand how to identify where a function is defined along the x-axis. Suitable for high school students in Grades 9-12.

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