Function or 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 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 is a 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

What is an example of a function?

Back

y = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the x-value 1 has two different y-values.

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a mapping diagram?

Back

A visual representation that shows how each input is paired with an output in a function.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input.