Domain and Range

Domain

Examples


Function


Domain


Comments


DomainEx1

DomainEx1.2

If you substitute a value less than –7, it will result in a negative number under the radical sign. This operation would be undefined.

DomainEx2

DomainEx2.2

Division by zero is undefined.

DomainEx3

DomainEx3.2

If a value of x = -3 is substituted it produces a zero in the denominator, which is undefined. Be careful, the rule is not ,“When dividing, x cannot be 0.” The rule is “x can never be a value that would result in a zero denominator.”

DomainEx4

DomainEx4.2

Any value can be substituted for x in this function and it will result in a number.

DomainEx5

DomainEx5.2

Numbers less than 3 will result in a negative number under the radical sign and 5 causes a division by 0.