Math Problem Statement
Determine the range of the following graph.
Solution
To determine the range of the given graph, we need to identify the minimum and maximum -values that the graph reaches.
Looking at the graph:
- The lowest point (minimum -value) is around .
- The highest point (maximum -value) appears to be around .
Therefore, the range of the graph, in interval notation, is:
This range indicates that the graph's output values (the -values) lie between and , inclusive.
Would you like a more detailed explanation of how to determine the range?
Related Questions
- How do you find the domain of a graph?
- What is the difference between domain and range?
- How would the range change if the graph shifted upwards by 3 units?
- How can we identify the range of a function if it is not represented graphically?
- What is the impact of a vertical stretch on the range of a function?
Tip
Always check the endpoints of a graph to confirm the exact minimum and maximum values for the range, especially when they are highlighted by specific points.
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Math Problem Analysis
Mathematical Concepts
Range
Graph Interpretation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8