Math Problem Statement
Use the graph of f shown to find the indicated limit or function value. If the limit does not exist, explain why. What is the value of f(-3)?
Solution
To determine the value of from the graph:
- Look at the point where on the graph.
- Identify the corresponding -value for this -value.
From the graph, when , the point on the graph is . This indicates that .
Thus, the correct answer is:
Would you like further details or have any questions? Here are some related questions to consider:
- What is the value of based on the graph?
- Does the limit exist? If so, what is it?
- What is the value of according to the graph?
- What does it mean if the left-hand limit and right-hand limit at a point are not equal?
- How do you determine if a function is continuous at a certain point based on its graph?
Tip: When analyzing graphs, always check the exact points marked for any holes, jumps, or other discontinuities to accurately determine function values and limits.
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Math Problem Analysis
Mathematical Concepts
Functions
Graph Analysis
Limits
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12