SOL 8.15 Review (Domain, Range, Relation 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 specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Given the relation {(1, 2), (3, -4), (x, 6), (-2, -3)}, which values of x will make the relation a function?

Back

x = 6.

Front

Given the relation {(6, 4), (8, -1), (x, 7), (-3, -6)}, which values of x will make the relation a function?

Back

x = 7.

Front

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

Back

If a relation is not a function, it means that at least one input (x-value) is associated with more than one output (y-value).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x has a unique output.