Review for Flashcard 3.1 and 3.2

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 the range of a function?

Back

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

Front

What is a function?

Back

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

Front

How can you determine if y is a function of x?

Back

To determine if y is a function of x, check if each x-value corresponds to only one y-value.

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 x-value is associated with multiple y-values.

Front

What is the domain of a function?

Back

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

Front

Given the relation {(0, 1), (1, 2), (2, 2), (3, 4)}, what is the range?

Back

The range is {1, 2, 4}.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value gives a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example is {(1, 2), (1, 3)}, where the x-value 1 corresponds to two different y-values.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values (x-values), while range refers to the set of output values (y-values).