Math Problem Statement
Find the range of the function defined by the table below: x = {-5, 6, 3, -2, -3, 10}, y = {-3, 7, 1, -3, 4, -4}.
Solution
The problem asks to find the range of the function defined by the table below:
\hline x & y \\ \hline -5 & -3 \\ 6 & 7 \\ 3 & 1 \\ -2 & -3 \\ -3 & 4 \\ 10 & -4 \\ \hline \end{array}$$ ### Solution: The **range** of a function is the set of all possible output values, which are the $$y$$-values in this case. From the table, the $$y$$-values are: - $$-3, 7, 1, -3, 4, -4$$ Now, let's write them as a set (removing duplicates): $$\{ -4, -3, 1, 4, 7 \}$$ Thus, the range of the function is: $$\boxed{\{-4, -3, 1, 4, 7\}}$$ Would you like more details or have any questions? ### Related Questions: 1. What is the domain of the function defined by this table? 2. How do you find the domain and range of a function from its graph? 3. What are the properties of a function based on its range and domain? 4. How do you determine if a function is one-to-one using its range? 5. What is the difference between the range and the codomain of a function? **Tip:** When finding the range, always check for duplicate $$y$$-values and remove them, as each value in a set should be unique.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Functions
Range
Sets
Formulas
Range = Set of unique y-values
Theorems
Definition of Range
Suitable Grade Level
Grade 8-10