To solve the problem, we are asked to evaluate $f(-3)$ using the graph provided.

Steps to Determine $f(-3)$:

1. Locate $x = -3$ on the horizontal $x$-axis.
2. Move vertically from $x = -3$ to the point(s) where the graph intersects this line.
3. Identify the corresponding $y$-coordinate of the intersection point.

Observation:

• At $x = -3$, the graph has two markers:
  • There is an open circle at $y = -3$, which indicates that this point is not included in the function.
  • There is a solid point at $y = -6$, which indicates that the value of $f(-3)$ is $-6$.

Final Answer:

$f(-3) = -6$

Would you like more details on interpreting graphs or have any other questions?

Related Questions:

1. What is the meaning of open and closed circles in a function's graph?
2. How would you find $f(-2)$ or $f(2)$ from the same graph?
3. Can a function have more than one value for the same $x$-coordinate?
4. How do discontinuities appear on graphs of functions?
5. How can we determine if the given graph represents a function?

Tip:

When evaluating a function graphically, always look for solid points to identify the actual value, and be cautious about open circles (which indicate exclusion).