Does the relation represent a function?
Understand the Problem
The question is asking whether a given relation satisfies the definition of a function, which requires each input to have exactly one output. To determine this, we need to analyze the specific relation in question.
Answer
The relation is a function if each x-value is related to only one y-value.
The relation is a function if each x-value is related to exactly one y-value.
Answer for screen readers
The relation is a function if each x-value is related to exactly one y-value.
More Information
A function is a specific type of relation. In a function, each input (or x-value) must correspond to exactly one output (or y-value). This distinction is important in mathematics as functions allow for consistent outputs for each input given.
Tips
A common mistake is confusing relations where x-values are associated with multiple y-values; such relations are not functions.
Sources
- Identifying Functions from Relations - study.com
- Determine whether a relation represents a function | College Algebra - courses.lumenlearning.com
