Math Problem Statement
Solution
Based on the graph in the image, you're working with a function that appears to be a parabola. Let's break this down to find the domain and range:
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Domain: The domain is the set of all possible x-values (input values) for which the function is defined. From the graph, it looks like the parabola spans the x-values from 10 to 14. So, the domain is correctly written as , which you have already filled in.
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Range: The range is the set of all possible y-values (output values) the function can take. The lowest point of the parabola occurs at around , and the highest points (on both sides) appear to be at . So, the range of the function is .
Thus, the range should be written as:
Would you like further details on how to identify domain and range from a graph?
Here are 5 questions to expand your understanding:
- What is the difference between domain and range in a function?
- How do you find the range of more complex functions from a graph?
- Can a function have an unlimited domain or range? In what cases?
- How does the shape of a graph help in determining its range?
- What are the characteristics of a function that make its range limited?
Tip: Always look for the highest and lowest points of the graph to easily determine the range.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Domain and Range
Formulas
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Theorems
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Suitable Grade Level
Grades 8-10
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