Relations and Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

List the ordered pairs for the function: y = 3x.

Back

(1,3), (2,6), (3,9), (4,12)

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

How do you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

A relation is a function if every x-value has only one corresponding y-value.

Front

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

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the first element and 'y' is the second element.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values, while range refers to the set of output values.