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 the vertical line test?

Back

The vertical line test is 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 does it mean for a mapping to be 'not a function'?

Back

A mapping is 'not a function' if at least one input is associated with more than one output.

Front

Give an example of a function using ordered pairs.

Back

(1, 2), (2, 3), (3, 4) is a function because each x-value is unique.

Front

Give an example of a set that is not a function using ordered pairs.

Back

(1, 2), (1, 3) is not a function because the input '1' has two different outputs.

Front

What is an ordered pair?

Back

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

Front

How can you tell if a graph is a function?

Back

You can tell if a graph is a function by using the vertical line test.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

What is the significance of unique x-values in a function?

Back

Unique x-values ensure that each input corresponds to only one output, which is essential for a relation to be a function.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if every input (x-value) has exactly one output (y-value).