Math Problem Statement
Identify the domain and the range of each function based on the provided tables.
Solution
To identify the domain and range of each function, we need to analyze the values of and given in each table.
Part a.
For the first table:
- Domain (x-values): The domain includes all unique values from the table: .
- Range (y-values): The range includes all unique values from the table: .
Part b.
For the second table:
- Domain (x-values): The domain includes all unique values from the table: .
- Range (y-values): The range includes all unique values from the table: .
Let me know if you need a deeper explanation on domains and ranges or if you have additional questions!
Here are 5 questions that relate to the topic:
- How do you determine if a function is continuous or discrete based on its domain and range?
- What are the differences between open and closed intervals in a domain?
- How would the domain and range change if additional values were added to the function?
- Can a function have multiple values in the range for a single value in the domain?
- How do transformations like translation and reflection affect the domain and range of a function?
Tip: Always remember that the domain includes all possible input values (x-values), while the range consists of all possible output values (y-values).
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Math Problem Analysis
Mathematical Concepts
Functions
Domain
Range
Formulas
Domain and range identification for functions
Theorems
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Suitable Grade Level
Grade 7-9