Determine if a Relation is a Function Using a Table

Math Problem Statement

Is the following relation a function? The relation is given as a table: x = -2, y = 1; x = -1, y = 1; x = 2, y = 3; x = 1, y = 3.

The given table shows the following relations:

\hline x & y \\ \hline -2 & 1 \\ -1 & 1 \\ 2 & 3 \\ 1 & 3 \\ \hline \end{array}$$ To determine if this relation is a function, we need to check if each input $$x$$ has only one corresponding output $$y$$. - For $$x = -2$$, there is one value of $$y = 1$$. - For $$x = -1$$, there is one value of $$y = 1$$. - For $$x = 2$$, there is one value of $$y = 3$$. - For $$x = 1$$, there is one value of $$y = 3$$. Since no $$x$$-value is repeated with different $$y$$-values, this relation **is** a function. So the answer is: **YES** Would you like further details on this topic, or do you have other questions? Here are five related questions to explore: 1. How do you graph a function from a table of values? 2. What is the difference between a relation and a function? 3. How do you determine if a graph represents a function? 4. What is the vertical line test for functions? 5. How do you define a one-to-one function? **Tip**: Always ensure that each $$x$$-value is mapped to exactly one $$y$$-value to confirm the relation is a function.

Drop file here or Click Here to upload

Relations and Functions
Domain and Range
Mapping of Inputs and Outputs

None (based on reasoning with the definition of functions)

Definition of a Function

Grades 6-8

Determining Whether a Relation is a Function Using a Table of Values

Is the Relation a Function? Checking with a Table of Values

Determining if a Relationship is a Function from a Table

Identify Functions: Determine if y is a function of x

Determining Whether a Relationship is a Function Using a Table of Values