Domain and Range

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

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

To determine the domain from a graph, identify the x-values that the graph covers. Look for any restrictions such as holes or vertical asymptotes.

To determine the range from a graph, identify the y-values that the graph covers. Look for any restrictions such as horizontal asymptotes or gaps.

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

The domain is all real numbers except for x = 0, since division by zero is undefined.

The range is all real numbers such that $$y \text{ is greater than or equal to } 0$$ .

The domain of a linear function is typically all real numbers unless specified otherwise.

The range of a linear function is also typically all real numbers unless specified otherwise.

The domain is $$0 \text{ months} \text{ to } 12 \text{ months}$$ .