Relations and Functions

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, where each pair consists of an input and an output.

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 relation to be not a function?

Back

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

Front

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

Back

Yes, this is a function because each input has exactly one output.

Front

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

Back

No, this is not a function because the input '1' has two outputs (2 and 3).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

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.