<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.
- First we draw a vertical line.
- 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.
