Definition of a function, operations on functions, function composition.

1. Functions: Putting the
pieces together
puzzling reach by flickr user jnthnhys

2. What is a function? Let's play a game ...
All functions are relations, but not all relations are functions.

3. An example of a relation, that is a function is:
An example of a relation, that is NOT a function is:
What's The Verticle Line Test?

4. Relations
one-to-many
Functions
many-to-one
one-to-one

5. The Verticle Line Test
Sweep a vertical line across the
graph of the function. If the line
crosses the graph more than
once it is not a function, only a
relation.

6. Commutativity
+ • functions, order in which you put them
When Adding or Multipyling
in doesn't matter, this is called the Commutative Law.
/
– or Dividing, order in which you put them in does
When Subtracting
matter because it can result in different answers.

7. Operations on Functions
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Operations on Functions
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Operations on Functions
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