What's the Difference? 🧐
A **relation** is a set of ordered pairs. Any relationship between two sets of data is a relation.
A **function** is a special type of relation where every input (the x-value) has **exactly one** output (the y-value). This is the key difference!
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Video: Functions vs. Relations 🎬
This video will walk you through the key concepts using visual examples like mapping diagrams and the Vertical Line Test. Turn on the captions to follow along!
Practice Problems
Determine whether each relation is a function. Enter "Yes" or "No".
1) Is this a function?
{(1, 2), (2, 3), (3, 4)}
{(1, 2), (2, 3), (3, 4)}
Answer:
2) Is this a function?
{(1, 2), (1, 3), (2, 4)}
{(1, 2), (1, 3), (2, 4)}
Answer:
3) Is $y^2 = x$ a function?
Answer:
4) Is $y = 2x + 1$ a function?
Answer:
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