Math Problem Statement
Evaluate f(-3) where f(x) is the piecewise function graphed.
Solution
To find from the graph of the piecewise function, let's analyze the graph at the point where .
From the graph:
- At , the function's value corresponds to the filled blue dot at the point .
- The filled dot indicates that the function is defined at this point, and the value of the function is the -coordinate of the point, which is .
Thus, .
Would you like a detailed explanation of how piecewise functions work or have any other questions?
Here are some follow-up questions:
- What is a piecewise function, and how is it defined?
- How can you tell if a function is defined at a specific point on a graph?
- How do you handle open and closed points on a graph?
- What are the key properties of continuous functions in piecewise graphs?
- 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.
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Math Problem Analysis
Mathematical Concepts
Piecewise Functions
Graphing Functions
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9