A1 Check for Understanding 5.1 - Function Definition

Front

What is a function?

Back

A relation where each input has only one output.

Front

Which ordered pair would prevent a table from being a function?

Back

(-2, 0) because it has the same x-value as another ordered pair.

Front

How can you tell if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the set of ordered pairs {(1, 2), (2, 3), (1, 4)} a function?

Back

No, because the x-value 1 is associated with two different y-values (2 and 4).

Front

What does it mean for a relation to be a function?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

Front

If a relation has the ordered pairs (3, 5), (3, 6), (4, 7), is it a function?

Back

No, because the input 3 has two different outputs (5 and 6).

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each input has a unique output.

Front

What is a non-function?

Back

A relation where at least one input is associated with more than one output.