Function/Not a Function

Front

What is a function?

Back

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

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but may also have inputs with multiple outputs.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a relation is not a function?

Back

If a relation is not a function, it means at least one x-value is paired with multiple y-values.

Front

Example of a function: {(1,2), (2,3), (3,4)}. Is this a function?

Back

Yes, because each x-value has only one corresponding y-value.

Front

Example of a relation: {(1,2), (1,3), (2,4)}. Is this a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line crosses the graph more than once, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.