Math Problem Statement
Find the domain of the function defined by the table below. Express your answer as a set of numbers. xx minus, 9−9 77 minus, 4−4 99 minus, 8−8 minus, 7−7 11 yy minus, 7−7 minus, 3−3 88 88 22 33 1010
Solution
The domain of a function consists of all the -values (input values) for which the function is defined. Based on the table provided:
\hline x & y \\ \hline -9 & -7 \\ 7 & -3 \\ -4 & 8 \\ 9 & 8 \\ -7 & 2 \\ 1 & 3 \\ 10 & 10 \\ \hline \end{array}$$ The $$x$$-values from the table are: $$-9, 7, -4, 9, -7, 1, 10$$. So, the domain of the function is: $$\{-9, 7, -4, 9, -7, 1, 10\}$$ Let me know if you need any more details or clarifications. ### Related Questions: 1. What is the range of the function defined by the table? 2. How do you determine the range of a function from a table? 3. Can a function have a repeating $$y$$-value for different $$x$$-values? 4. How is the concept of a domain applied in graphing functions? 5. What does it mean if an $$x$$-value is not included in the domain? #### Tip: The domain is concerned only with the $$x$$-values where the function has outputs, so ensure all those values are accounted for when analyzing a table or equation.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Domain of a Function
Functions
Set of Numbers
Formulas
Domain: Set of x-values for which the function is defined
Theorems
Definition of a function's domain
Suitable Grade Level
Grades 6-8