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To find \( f(-3) \) from the graph of the piecewise function, let's analyze the graph at the point where \( x = -3 \).

From the graph:

1. At \( x = -3 \), the function's value corresponds to the filled blue dot at the point \( (-3, -3) \).
2. The filled dot indicates that the function is defined at this point, and the value of the function is the \( y \)-coordinate of the point, which is \( -3 \).

Thus, \( f(-3) = -3 \).

Would you like a detailed explanation of how piecewise functions work or have any other questions?

Here are some follow-up questions:
1. What is a piecewise function, and how is it defined?
2. How can you tell if a function is defined at a specific point on a graph?
3. How do you handle open and closed points on a graph?
4. What are the key properties of continuous functions in piecewise graphs?
5. How do you evaluate a piecewise function from a given equation instead of a graph?

**Tip:** In piecewise functions, a filled dot means the function is defined at that point, while an open circle means it's not.

Evaluate f(-3) where f(x) is the piecewise function graphed.

Learn how to evaluate f(-3) using a graph of a piecewise function. This step-by-step explanation helps students in Grades 7-9 understand how to read graphs and determine function values based on closed and open points.

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