Domain and Range

Front

What is the definition of 'domain' in 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 definition of 'range' in 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 can you determine the domain of a function from a graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How can you determine the range of a function from a graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

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

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each x-value has one corresponding y-value.

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

Given the set of ordered pairs {(3, 0), (7, 0), (3, 5), (7, 5)}, what is the domain?

Back

The domain is {3, 7}.

Front

Given the set of ordered pairs {(3, 0), (7, 0), (3, 5), (7, 5)}, what is the range?

Back

The range is {0, 5}.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.