functions relations ordered pairs mapping

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 a range in relation to functions?

Back

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

Front

How do you write an ordered pair?

Back

An ordered pair is written as (X,Y), where X is the first element and Y is the second element.

Front

What is a function?

Back

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

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function must have only one output for each input.

Front

What is a mapping in mathematics?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

Front

What does it mean for a mapping to be a function?

Back

For a mapping to be a function, each input must be associated with exactly one output.

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 a coordinate point?

Back

A coordinate point is a pair of numbers (x,y) that defines a position on a Cartesian plane.