When is a relation not a function?
Understand the Problem
The question is asking for the conditions under which a relation does not qualify as a function. This typically involves criteria such as the requirement that each input (or x-coordinate) must correspond to exactly one output (or y-coordinate). If any input is associated with multiple outputs, the relation is not a function.
Answer
A relation is not a function if any x values are repeated with different y values.
The final answer is a relation is not a function if any x values are repeated with different y values.
Answer for screen readers
The final answer is a relation is not a function if any x values are repeated with different y values.
More Information
In a function, each input (x value) must map to exactly one output (y value). If an x value is paired with multiple y values, it violates the definition of a function.
Tips
A common mistake is to only check for duplicates in x values without verifying if the corresponding y values are different. Always check both conditions.
Sources
- Identify Functions from Relations - Study.com - study.com
- What is a relation that is not a function? - Quora - quora.com
- Determine whether a relation represents a function | College Algebra - courses.lumenlearning.com
