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What is domain and range of a function? |
| Answer» DomainThe 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:\tThe denominator (bottom) of a fraction cannot be zero\tThe number under a square root sign must be positive in this sectionRangeThe 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.In plain English, the definition means:The range is the resulting y-values we get after substituting all the possible x-values.How to find the rangeThe 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. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.\xa0 | |