Domain and Range and Functions

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for a function.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that any real number can be used as an input for the function.

Front

If a function has a range of y ≥ -4, what does this indicate?

Back

The output values of the function start from -4 and go to positive infinity.

Front

What is the difference between domain and range?

Back

Domain refers to input values, while range refers to output values.

Front

How do you determine the domain of a function from its graph?

Back

Look for the x-values that the graph covers; these values make up the domain.

Front

How do you determine the range of a function from its graph?

Back

Look for the y-values that the graph covers; these values make up the range.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

What is a relation in mathematics?

Back

A set of ordered pairs, which can include functions but is not limited to them.