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) and an output (y).

Front

What is a function?

Back

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

Front

List the ordered pairs for the function: f(x) = 12 - x.

Back

(0,12), (2,10), (4,8), (6,6)

Front

List the ordered pairs for the function: f(x) = -x + 1.

Back

(1,-1), (1,-2), (2,-3), (2,-4)

Front

How can you determine if a relation is a function?

Back

A relation is a function if no input value corresponds to more than one output value.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input value is associated with multiple output values.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the input and 'y' is the output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Describe the pattern of inputs and outputs for the function: f(x) = x + 2.

Back

The x moves right by 2 and the y stays the same.