How can you determine the domain and range of function.

The domain of a function is the complete set of possible values of the independent variable.

In plain English, this definition means:

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

When finding the domain, remember:

The denominator (bottom) of a fraction cannot be zero

The number under a square root sign must be positive in this section

Answer and explanation:

The set of all possible values of x that will make the function work, giving an output of real y values is said to be the domain of a function.

The domain of a function is determined by looking for the values of the independent variable (which is usually x) that are allowed to use.

While the complete set of all possible output values of the dependent variable (usually y), when we substitute the x values is called the range.

Range can be determined by the spread of the possible y-values (minimum y-value to maximum y-value).