Math Problem Statement
Tell whether the relationship in this table represents a function.
Solution
In this problem, you are asked to determine whether the relationship between the values of and in the given table represents a function.
A relation is a function if each input (or -value) is associated with exactly one output (or -value). In other words, no -value should be mapped to more than one -value.
Let’s analyze the table:
\hline x & 4 & 3 & 2 & 0 & 1 & 3 \\ \hline y & -3 & -1 & 0 & 5 & 8 & 9 \\ \hline \end{array}$$ In this table: - $$x = 3$$ is paired with both $$y = -1$$ and $$y = 9$$. Since the input $$x = 3$$ is mapped to two different $$y$$-values, this means the relation is **not a function**. Would you like further details or explanations? Here are 5 related questions: 1. What defines a function in mathematics? 2. Can a function have the same $$y$$-value for different $$x$$-values? 3. How can you test if a relation is a function by using the vertical line test? 4. What is a one-to-one function? 5. What are the consequences if a relation is not a function? **Tip**: Remember that a function assigns exactly one output for every input!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Functions
Relations
Formulas
-
Theorems
Definition of a function
Suitable Grade Level
Grades 6-8