Math Problem Statement
Find the domain of the function defined by the table below. Express your answer as a set of numbers. xx yy minus, 2−2 77 minus, 5−5 minus, 2−2 minus, 8−8 minus, 10−10
Solution
The domain of a function is the set of all possible input values (xx) for which the function is defined. In this case, the inputs are the values of listed in the table.
From the table:
\hline x & y \\ \hline -2 & 7 \\ -5 & -2 \\ -8 & -10 \\ \hline \end{array}$$ The domain is the set of all $$x$$-values: $$-2$$, $$-5$$, and $$-8$$. Therefore, the domain is: $$\{-8, -5, -2\}$$ Would you like a detailed explanation of why these values define the domain, or have any other questions? ### Related Questions: 1. What is the range of this function based on the table? 2. Can a function have repeated values in its domain? 3. How do we handle undefined values in a function’s domain? 4. What is the difference between domain and range? 5. How would the domain change if there were more values in the table? #### Tip: Always ensure the domain consists only of input values for which the function gives a defined output.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Functions
Domain of a Function
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8