Function Vs Relation

Front

What is a function?

Back

A function is a relation in which each input (or domain element) is associated with exactly one output (or range element).

Front

What is a relation?

Back

A relation is a set of ordered pairs, which may associate multiple outputs with a single input.

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all first elements (inputs) from the ordered pairs.

Front

What is the range of a relation?

Back

The range of a relation is the set of all second elements (outputs) from the ordered pairs.

Front

How can you determine if a set of ordered pairs is a function?

Back

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

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs {(1, 2), (2, 3), (3, 4)}.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of ordered pairs {(1, 2), (1, 3)}.

Front

What notation is commonly used to represent functions?

Back

Functions are commonly represented using function notation, such as f(x) = y.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph at more than one point, it is not a function.

Front

What is the significance of the ordered pairs in a function?

Back

Ordered pairs in a function indicate the relationship between inputs and outputs, showing how each input is mapped to a specific output.