Math Problem Statement
State the domain and range of the relation given in the table below, and determine if it is a function.
Solution
Let's first analyze the table from the image you provided.
The table shows pairs of and -values. From the table:
\hline x & -8 & 5 & -3 & 14 & 8 \\ \hline y & 1 & -13 & 5 & 20 & 9 \\ \hline \end{array}$$ ### Domain: The domain refers to the set of all possible $$x$$-values. From the table, the $$x$$-values are: $$\{-8, 5, -3, 14, 8\}$$ ### Range: The range refers to the set of all possible $$y$$-values. From the table, the $$y$$-values are: $$\{1, -13, 5, 20, 9\}$$ ### Function Check: To check if this is a function, we look at whether each $$x$$-value corresponds to exactly one $$y$$-value. In this case, every $$x$$-value is paired with a unique $$y$$-value, so this is indeed a function. ### Final Answer: - **Domain:** $$\{-8, 5, -3, 14, 8\}$$ - **Range:** $$\{1, -13, 5, 20, 9\}$$ - **Is this a function?** Yes. Would you like more details on how to determine functions or further examples? Let me know if you have any other questions! ### Additional Questions: 1. How do you determine if a set of pairs is a function? 2. What happens if one $$x$$-value corresponds to multiple $$y$$-values? 3. What is the difference between a domain and a range? 4. How would the domain and range change if additional pairs were added to this table? 5. Can a function have an infinite domain and range? **Tip:** When identifying the domain and range from a table, always list the unique values for each set and check the function's rule for consistency.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Relations and Functions
Domain and Range
Formulas
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Theorems
Definition of a Function
Suitable Grade Level
Grades 8-10