### Concept (1)

In mathematics, a relationship describles one quantity in terms of another. A function is a type of relationship in which for each first component there is one and only one second component. In mathematics, an introduction to functions and how to identify whether or not a relationship is a function is very important building block since a lot of complex topics in upper-level math involve functions.

### Sample Problems (5)

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Definition of a function.

###### Problem 1
How to tell if a relationship is a function by looking at a flow chart.

Which one are functions?

F = {(1,2),(2,4),(3,7)}
G = {(1,2),(2,4),(3,7),(2,4)}
H = {(1,2),(2,4),(3,7),(2,4),(1,3)}
###### Problem 2
How to tell if a relationship is a function by looking at a set of points.

Vertical Line Test for functions

###### Problem 3
How to tell if a relationship is a function by looking at graphs.
###### Problem 4
Determining whether a relation is a function from maps, tables, and graphs using the vertical line test.
###### Problem 5
Operations on functions, including adding, subtracting, multiplying and dividing f(x) and g(x).