From the image, we observe the function $f(x)$ graphed on the coordinate plane. Here's how we solve the questions:

1. Evaluate $f(4)$:

Locate $x = 4$ on the x-axis and find the corresponding $y$-coordinate on the curve.

From the graph:

• When $x = 4$, $f(4) = 1$.

2. Solve $f(x) = 4$:

To solve $f(x) = 4$, locate the $y$-value of 4 on the graph and determine the corresponding $x$-values.

From the graph:

• When $f(x) = 4$, $x = -3$.

Final Answers:

• $f(4) = 1$
• $x = -3$ when $f(x) = 4$

Would you like additional clarifications or more detailed steps?

Here are five related questions to expand your understanding:

1. What is the domain and range of the function $f(x)$ as shown in the graph?
2. Is the function $f(x)$ one-to-one? Why or why not?
3. How can you determine the symmetry of $f(x)$ from the graph?
4. What happens to $f(x)$ as $x \to \infty$ or $x \to -\infty$?
5. How would the graph of $f(x)$ shift if transformed to $f(x) + 2$?

Tip: Always check the axis scales when interpreting graphs—they might not always increment by 1!