Relations & Functions (A1.2.1.1.2)

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which of the following is a function? (3,4), (3,5), (4,5)

Back

(4,5) is a function because the x-values are unique.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

Identify the x-coordinate in the ordered pair (5, 9).

Back

The x-coordinate is 5.

Front

Identify the y-coordinate in the ordered pair (5, 9).

Back

The y-coordinate is 9.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Is the relation {(1,2), (2,3), (1,4)} a function?

Back

No, because the x-value 1 is paired with two different y-values (2 and 4).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the domain of a function?

Back

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