### Concept (1)

Understanding relations (defined as a set of inputs and corresponding outputs) is an important step to learning what makes a function. A function is a specific relation, and determining whether a relation is a function is a skill necessary for knowing what we can graph. Determining whether a relation is a function involves making sure that for every input there is only one output.

### Sample Problems (7)

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Find the domain and range. Determine whether the relation is a function.

{(6,-1),(4,3),(1,1),(4,2)}

###### Problem 1
How to find the domain and range and determine whether a relation is a function when given a set of ordered pairs.

Find the domain and range. Determine whether the relation is a function.

###### Problem 2
How to find the domain and range and determine whether a relation is a function when given a mapping.

Which of the following graphs respresent functions?

###### Problem 3
How to tell whether a graph represents a function.
###### Problem 4
Identifying the domain and range from continuous and discrete graphs
###### Problem 5
How to find the domain and range from a graph and use the vertical line test to see if a graph represents a function
###### Problem 6
Finding the domain and range of a relation from a table, set of points, or map
###### Problem 7
How to determine whether a relation is a function from a set of points, a mapping, or a graph