The image shows a graph of a piecewise function along with a question asking for the correct value of $f(-6)$. Let's analyze the graph and determine the value.

Understanding the Graph:

• The graph is a piecewise function with different segments for different intervals of $x$.
• You need to find the value of the function at $x = -6$.

Steps to Solve:

1. Locate $x = -6$ on the graph:

   • Find where $x = -6$ is on the x-axis.

2. Identify the corresponding $y$-value:

   • Follow the vertical line from $x = -6$ up or down to where it intersects the graph of the function.
   • The y-coordinate of this intersection point is $f(-6)$.

Analyzing the Graph:

• According to the graph, at $x = -6$, the graph shows a point with a corresponding $y$-value of $5$.

Conclusion:

The value of $f(-6)$ is $5$.

So the correct answer is B. 5.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you evaluate a piecewise function at a specific point?
2. What is the importance of understanding the different intervals in a piecewise function?
3. How can you graph a piecewise function from its definition?
4. How does continuity affect the evaluation of piecewise functions?
5. What are common mistakes to avoid when working with piecewise functions?

Tip: When working with piecewise functions, always pay attention to the specific intervals each piece is defined for, as this will guide you in determining the correct output for a given input.