Math Problem Statement
Determine the range of the following graph:
Solution
To determine the range of the given graph, we need to identify the set of possible output values (i.e., the -values) that the function takes.
Analyzing the Graph:
- Maximum -value: The graph appears to reach a maximum point at around .
- Minimum -value: The graph appears to reach a minimum point at around .
- The graph spans vertically from to , and it seems that all -values between these two extremes are included.
Conclusion:
The range of the graph is from to , inclusive. Therefore, the range can be written as:
Would you like more details, or do you have any other questions about this?
Here are 5 related questions to expand on this concept:
- What is the domain of the graph?
- How can you determine if a function is continuous from its graph?
- What is the significance of the maximum and minimum points on a graph?
- How would the range change if the graph was shifted up or down?
- What is the difference between the range and the codomain of a function?
Tip: When determining the range of a graph, always check the highest and lowest points of the graph to ensure you capture all possible output values.
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Math Problem Analysis
Mathematical Concepts
Range of a Function
Graph Analysis
Formulas
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Theorems
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Suitable Grade Level
Grades 9-11