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Explain what is meant by domain and range.

Domain- set of x-values

Range- set of y-values

Step-by-step explanation:

Domain

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

The denominator (bottom) of a fraction cannot be zero The number under a square root sign must be positive in this section

Range

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range

The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. Make sure you look for minimum and maximum values of y. Draw a sketch!

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