https://file.aiquickdraw.com/mathbot/file/1736277383505o08ig2o3.jpg

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:
\[
f(-3) = -6
\]

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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).

Evaluate the function graphically. Find f(-3).

Learn how to evaluate f(-3) graphically by interpreting a given function graph. Understand the role of open and closed circles in function evaluation. Suitable for Grades 9-10 students studying functions and graph interpretation.

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