https://file.aiquickdraw.com/mathbot/file/1726664511313qal7z2bi.jpg

Let's solve the problem step by step by analyzing the graph and the given questions:

### (a) Find \( f(1) \):
To find \( f(1) \), look at the graph where \( x = 1 \) and find the corresponding \( y \)-value. On the graph, when \( x = 1 \), the \( y \)-value is approximately **3**. Hence:

\[
f(1) = 3
\]

### (b) Find one value of \( x \) for which \( f(x) = 0 \):
We are looking for the \( x \)-value where the graph intersects the \( x \)-axis, which is when \( f(x) = 0 \). From the graph, the function intersects the \( x \)-axis at \( x = -3 \).

Thus:

\[
x = -3
\]

### Final answers:
- \( f(1) = 3 \)
- One value of \( x \) for which \( f(x) = 0 \) is \( x = -3 \).

Let me know if you need any more details!

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Here are 5 related questions for further practice:
1. What is \( f(0) \) based on the graph?
2. Find the slope of the line represented by the graph.
3. How would you find the \( y \)-intercept of the function?
4. What is the domain and range of this function?
5. How can you express this linear function algebraically?

**Tip:** To find where a function equals zero (i.e., its roots), always check where it crosses the x-axis.

Find f(1) and one value of x for which f(x) = 0 based on the graph of a function f.

Learn how to analyze a graph to find the value of a function at a specific point and where the function equals zero. In this problem, we explore linear functions and graph intersections. Suitable for students in Grades 8-10.

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