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 not a function?

Back

A relation is not a function if at least one input (x-value) has more than one output (y-value).

Front

How can you tell if a graph represents a function?

Back

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

Front

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

Back

In a mapping, each element from the domain (input) must be paired with exactly one element in the range (output).

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value has one unique y-value.

Front

What is an example of not a function?

Back

The relation {(1, 2), (1, 3), (2, 4)} is not a function because the x-value 1 has two different y-values.

Front

What is the vertical line test?

Back

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

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

What does it mean for a relation to be one-to-one?

Back

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