Math Problem Statement
Determine the range of the following graph:
Solution
The range of a graph refers to all possible -values that the function can take. Looking at the graph you've provided, I can see that:
- The graph has its highest point around .
- The lowest point the graph reaches is approximately .
Therefore, the range of the function is from to . In interval notation, this would be:
Let me know if you'd like further details, or if you have any other questions!
Here are 5 related questions for you:
- What is the domain of the given graph?
- How do you find the range of a graph when given a formula instead of a graph?
- What is the difference between the range and the domain of a function?
- Can a function have multiple ranges? Why or why not?
- How do you determine if a function is continuous across its range?
Tip: The range of a function is determined by the -coordinates of the graph, so always look for the highest and lowest points when examining a graph visually.
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Math Problem Analysis
Mathematical Concepts
Range of a function
Graph interpretation
Formulas
Range = [minimum y-value, maximum y-value]
Theorems
Range of a function
Suitable Grade Level
Grades 9-12