Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

What is the input in a function?

Back

The value(s) that are put into a function to obtain an output.

Front

What is the output in a function?

Back

The value(s) that result from applying the input to a function.

Front

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

Back

Identify all the x-values that the graph covers.

Front

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

Back

Identify all the y-values that the graph covers.

Front

What is an example of a domain?

Back

For the function f(x) = x^2, the domain is all real numbers.

Front

What is an example of a range?

Back

For the function f(x) = x^2, the range is all non-negative real numbers.

Front

What does it mean if a function is defined only for certain x-values?

Back

It means that those x-values are the only inputs for which the function produces outputs.

Front

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

Back

The domain is all real numbers except x = 0.