SOL Prep 12/4 Unit 5 Flashcard Review

Front

What is the domain of a function?

Back

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

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

How do you determine if a relation is a function?

Back

A relation is a function if each input value (x) is associated with exactly one output value (y).

Front

Given the relation {(1,2), (1,3), (2,4)}, is this a function?

Back

No, this is not a function because the input value 1 is associated with two different output values (2 and 3).

Front

What is an example of a function?

Back

An example of a function is {(1,2), (2,3), (3,4)} because each input has a unique output.

Front

What does it mean for a set of ordered pairs to be a function?

Back

It means that no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

Identify the domain and range of the function {(0,1), (1,-3), (2,-4), (-4,1)}.

Back

Domain: {-4, 0, 1, 2}; Range: {-4, -3, 1}.

Front

What is the domain of the relation {(3,5), (5,8), (1,2)}?

Back

The domain is {3, 5, 1}.

Front

Which of the following is a function: {(2,3), (2,4)}, {(1,2), (3,4)}, {(5,5), (5,6)}?

Back

{(1,2), (3,4)} is a function because each input has a unique output.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.