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) for which the function is defined.

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 do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers.

Front

What is the domain of the function f(x) = x^2?

Back

The domain of f(x) = x^2 is all real numbers.

Front

What is the range of the function f(x) = x^2?

Back

The range of f(x) = x^2 is y ≥ 0.

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that not all real numbers are valid inputs for the function.

Front

If a function is defined only for x-values between -3 and 2, what is the domain?

Back

The domain is -3 ≤ x ≤ 2.

Front

If a function has outputs ranging from 1 to 5, what is the range?

Back

The range is 1 ≤ y ≤ 5.

Front

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

Back

The domain is all real numbers except x = 0.