Math Problem Statement
Solution
The image contains four tables representing relations. To determine which one is a function, we need to check if each input (x-value) corresponds to exactly one output (y-value). A relation is a function if each input value has only one output.
Let's analyze each table:
-
First Table:
- Input values: -6, -2, 0, 5
- Each input corresponds to a unique output (-4, 1, 2, 3). This is a function.
-
Second Table:
- Input values: -3, 0, 3
- Each input corresponds to a unique output (-2, -6, 1). This is a function.
-
Third Table:
- Input values: -2, -4, -2, 4
- The input -2 is paired with two different outputs (1 and -1). This is not a function.
-
Fourth Table:
- Input values: -7, -7, 0, 2
- The input -7 is paired with two different outputs (-1 and 4). This is not a function.
Based on this analysis, the first and second tables represent functions.
Would you like further clarification or have additional questions? Here are 5 follow-up questions you might find helpful:
- How do you test if a relation is a function?
- Can a function have more than one output for the same input?
- What is the difference between a function and a non-function?
- How do you graph a function from a table?
- Can a function have duplicate output values for different inputs?
Tip: A quick way to check if a table represents a function is to look for repeated x-values paired with different y-values. If this occurs, 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
Input and Output Pairs
Formulas
-
Theorems
-
Suitable Grade Level
Grades 6-8