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 xx and yy given in each table.

Part a.

For the first table:

  • Domain (x-values): The domain includes all unique xx values from the table: {2,3,4,5,6}\{2, 3, 4, 5, 6\}.
  • Range (y-values): The range includes all unique yy values from the table: {0,1,2,3,4}\{0, 1, 2, 3, 4\}.

Part b.

For the second table:

  • Domain (x-values): The domain includes all unique xx values from the table: {3,1,1,3,4}\{-3, -1, 1, 3, 4\}.
  • Range (y-values): The range includes all unique yy values from the table: {1,3,2,2,6}\{1, 3, -2, 2, 6\}.

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:

  1. How do you determine if a function is continuous or discrete based on its domain and range?
  2. What are the differences between open and closed intervals in a domain?
  3. How would the domain and range change if additional values were added to the function?
  4. Can a function have multiple values in the range for a single value in the domain?
  5. 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