Function or Not?

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

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 crosses 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

Give an example of a function using ordered pairs.

Back

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

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element with different second elements.

Front

What is the significance of the output in a function?

Back

The output is the value that results from applying the function to an input.

Front

What is a mapping diagram?

Back

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

Front

What is the difference between a function and a relation?

Back

All functions are relations, but not all relations are functions; functions have a unique output for each input.

Front

What is a domain in the context of functions?

Back

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