Let's analyze the graph and solve the given tasks:

1. Evaluate $f(4)$:

To find $f(4)$, locate $x = 4$ on the graph and identify the corresponding $y$-value. Based on the graph, when $x = 4$, the value of $f(x)$ is 1.
Thus, $f(4) = 1$.

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

To find the solution to $f(x) = 4$, find where the horizontal line $y = 4$ intersects the graph. The graph intersects this line at $x = -1$.
Thus, the solution is $x = -1$.

Final Answers:

• $f(4) = 1$.
• The solution to $f(x) = 4$ is $x = -1$.

Would you like a deeper explanation or any other help?

Here are 5 related questions for further understanding:

1. What is the domain of the given function $f(x)$?
2. What is the range of the function $f(x)$?
3. How would you determine if this function is increasing or decreasing?
4. How do you solve for $f(x) = 2$ using the graph?
5. How can we check if this function is one-to-one?

Tip: When evaluating functions graphically, always ensure to carefully match the corresponding values on the axes.