1B: Ordered Pairs (Functions)

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean if a set of ordered pairs is not a function?

Back

It means that at least one x-value is associated with more than one y-value.

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

Check if any x-value appears more than once with different y-values.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Given the set {(1, 2), (2, 3), (3, 4)}, is this a function?

Back

Yes, this is a function because each x-value has a unique y-value.

Front

Given the set {(1, 2), (1, 3), (2, 4)}, is this a function?

Back

No, this is not a function because the x-value 1 is associated with two different y-values (2 and 3).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

If a relation is represented as a table, how can you tell if it is a function?

Back

Look for repeated x-values; if any x-value is repeated with different y-values, it is not a function.