Let's solve this problem step by step. The task involves interpreting the graph of the function $f(x)$ and finding specific values.

1. Evaluate $f(3)$

To evaluate $f(3)$, locate $x = 3$ on the horizontal axis and identify the corresponding $y$-value on the graph.

From the graph:

• At $x = 3$, the point on the graph is $(3, 1)$.
• So, $f(3) = 1$.

2. Find $x$ when $f(x) = 3$

To find $x$ when $f(x) = 3$, locate $y = 3$ on the vertical axis and determine the $x$-value(s) where the graph intersects $y = 3$.

From the graph:

• The graph intersects $y = 3$ at $x = -1$.

Thus:

• When $f(x) = 3$, $x = -1$.

Final Answers:

1. $f(3) = 1$
2. $x = -1$ when $f(x) = 3$.

Would you like me to explain these steps further or help with anything else?
Here are 5 related questions to expand your understanding:

1. How can you determine the slope of the function from this graph?
2. What is the equation of this linear function $f(x)$?
3. How would you solve for $x$ if $f(x) = 0$ using this graph?
4. How can you interpret $f(0)$ from the graph?
5. What happens to $f(x)$ as $x \to -\infty$ or $x \to \infty$?

Tip: Always double-check points on a graph by aligning them carefully with grid lines to avoid errors.