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Let's analyze the given graph and solve for the domain of the function \( f(x) \).

The graph of the function starts at \( x = 0 \) and moves rightwards, covering positive values of \( x \). There are no values of the function for \( x < 0 \), as the graph doesn't extend into negative \( x \)-values.

### Domain:
The domain of a function is the set of all possible input values (i.e., \( x \)-values) for which the function is defined. From the graph, we can see that the function is defined starting from \( x = 0 \) and continues to the right. This means the domain is all values of \( x \) such that \( x \geq 0 \).

Thus, the correct answer is:
**B. \( \{x \mid x \geq 0\} \)**

Would you like further details or have any questions? Here are 5 related questions for further practice:

1. How do we determine the domain of a function from its graph?
2. What is the range of this function?
3. How would the domain change if the graph included negative \( x \)-values?
4. How can you express the domain of a function algebraically for piecewise functions?
5. What does the notation \( \{x \mid x \geq 0\} \) mean in set notation?

**Tip:** When finding the domain from a graph, look for the horizontal extent of the graph along the \( x \)-axis. The domain is the range of \( x \)-values for which the function exists.

What is the domain of function f as seen in the graph?

Learn how to find the domain of a function by analyzing its graph. The problem asks for the domain of the function f(x), which starts from x = 0 and covers all positive values of x. Suitable for students in Grades 8-10.

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