Math Problem Statement
Determine whether or not the relationship shown in the table is a function.
Solution
The table in the image shows the following pairs:
\hline x & y \\ \hline 2 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\ \hline \end{array}$$ To determine whether this table represents a function, we need to check if each $$x$$-value corresponds to exactly one $$y$$-value. A relation is a function if for every $$x$$ in the domain, there is only one unique $$y$$. In this table: - The input $$x = 2$$ is associated with both $$y = 4$$ and $$y = 5$$, which violates the definition of a function. Thus, the table **does not define** a function. The correct answer to the question is: - **b. No** Would you like more details or have any questions? Here are 5 related questions for further practice: 1. What is the vertical line test for functions? 2. Can a function have the same output for multiple inputs? 3. How can you determine if a graph represents a function? 4. What are the domain and range of a function? 5. How would the table change if it represented a function? **Tip:** A function assigns exactly one output to each input; if one input corresponds to multiple outputs, it's not a function.Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Relations and Functions
Domain and Range
Function Definition
Formulas
-
Theorems
Function definition: Each input has one unique output
Suitable Grade Level
Grades 8-10