Domain and Range - Graphs

Front

What is the domain of a graph?

Back

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

Front

What is the range of a graph?

Back

The set of all possible y-values (output values) that a function can produce.

Front

How do you determine the domain from a graph?

Back

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

Front

How do you determine the range from a graph?

Back

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

Front

What does it mean if the domain is 'all real numbers'?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if the range is 'between -2 and 3'?

Back

It means that the output values of the function are limited to values greater than or equal to -2 and less than or equal to 3.

Front

If a graph only exists between x = 1 and x = 4, what is the domain?

Back

The domain is between 1 and 4.

Front

If a graph only exists between y = 1 and y = 4, what is the range?

Back

The range is between 1 and 4.

Front

What is an example of a function with a domain of all real numbers?

Back

The function f(x) = x^2 has a domain of all real numbers.

Front

What is an example of a function with a limited range?

Back

The function f(x) = x^2 has a range of all real numbers greater than or equal to 0.