Relations, Functions, and Real-World Graphs

Front

What is the domain of a function?

Back

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

Front

What is a function?

Back

A relation where each input value is associated with exactly one output value.

Front

What is the range of a function?

Back

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

Front

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

Back

A relation is a function if no two ordered pairs have the same first element (input) but different second elements (output).

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x, there is exactly one y.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 is associated with two different outputs.

Front

What is the notation for domain?

Back

The domain is often represented using interval notation, such as [a, b] or (a, b).

Front

What does the interval notation [a, b] mean?

Back

It includes all numbers between a and b, including a and b.

Front

What does the interval notation (a, b) mean?

Back

It includes all numbers between a and b, excluding a and b.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be found by identifying the x-values that the graph covers.