Math Problem Statement
Find the value of f(6).
Solution
To solve for , we need to determine the value of the function at using the graph provided.
Looking at the graph:
- The function is a piecewise linear graph, with straight-line segments connecting different points on the coordinate plane.
- From the graph, we observe that at , the value of is 0 (since the graph touches the x-axis at this point).
Thus, .
Would you like further details or explanations? Here are some follow-up questions that might help deepen your understanding:
- What is the general behavior of the graph for different intervals of ?
- How can we determine the slope of the line segments in the graph?
- What does it mean when the graph intersects the x-axis?
- Can you describe how the function behaves as approaches negative or positive infinity?
- How would you find for any other specific value of ?
Tip: When analyzing a graph, always pay attention to key points such as where the graph crosses the axes, and check for any changes in slope or direction.
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Math Problem Analysis
Mathematical Concepts
Function Evaluation
Graph Interpretation
Piecewise Linear Functions
Formulas
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Theorems
Graphical interpretation of functions
Suitable Grade Level
Grades 7-10