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elena-14-01-66 [18.8K]
2 years ago
9

How is a function different than a relation?

Mathematics
1 answer:
Nastasia [14]2 years ago
5 0
<h3><u>Explanation</u></h3>
  • Difference between relation and function.

Relation and Function both are same except for one thing.

Relation can have repetitive domain while Function cannot. We can say that Function is a relation without repetitive domain.

<u>Example</u><u> </u><u>of</u><u> </u><u>Relation</u>

{(1,1),(1,3),(2,5),(2,6),(3,46),(3,90)}

This is a relation because there are same and repetitive domain.

<u>Example</u><u> </u><u>of</u><u> </u><u>Function</u>

{(1,1),(2,4),(3,9),(4,16),(5,25),(6,36),(7,49)}

This can be classified as relation as well but relation that is function. We can say that function is a subset of relation. Remember that functions are relations that don't have repetitive domain while relations that are not function (or just relations) can have repetitive or same domain.

<u>Graph</u><u> </u><u>of</u><u> </u><u>Relation</u><u> </u><u>and</u><u> </u><u>Function</u>

Relations can have graphs along with Functions. The problem is you might not see set of ordered pairs but graph instead.

How can we tell if the graph is a function or just only relation? The answer is to do line test.

  1. First we draw a vertical line.
  2. See if the line intercepts the graph just one point or more than one.

If the graph intercepts only one point then it is a function. Otherwise, no.

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