Relations and Functions

Front

What is the DOMAIN of a function?

Back

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

Front

What is the RANGE of a function?

Back

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

Front

What is a RELATION in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What is a FUNCTION?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What does it mean if a function is linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is the difference between a relation and a function?

Back

All functions are relations, but not all relations are functions. Functions have unique outputs for each input.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

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 {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What is the notation for domain?

Back

The domain is often denoted as D(f) or simply as the set of x-values.