Math Problem Statement
Solution
To determine if the given relation is a function, we can use the Vertical Line Test. A relation is considered a function if every vertical line drawn through the graph intersects the graph at most once.
In this case, the graph shown represents a curve, and it does pass the vertical line test. For any vertical line drawn, it will only intersect the curve at one point. Therefore, this relation is a function.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the vertical line test, and how does it work?
- Can a graph represent a relation but not a function? How?
- How do we determine if a set of ordered pairs represents a function?
- What are the domain and range of a function?
- How do you differentiate between a function and a non-function on a graph?
Tip: Always apply the vertical line test when you're unsure whether a graph represents a function!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Functions
Relations
Graphing
Formulas
-
Theorems
Vertical Line Test
Suitable Grade Level
Grades 8-10
Related Recommendation
Determining if a Relation is a Function Using the Vertical Line Test
Determining if a Relation is a Function Using the Vertical Line Test
Determine if a Relation Represents a Function Using the Vertical Line Test
Determine if y is a function of x using the Vertical Line Test
Determine if a Relation is a Function Using Vertical Line Test