Domain and Range of a Domain and Range of a GraphGraph

DomainDomain

The domain of a The domain of a graph is displayed graph is displayed by the set of all by the set of all possible x-values or possible x-values or abscissas.abscissas.

In this example, the In this example, the domain continues domain continues to expand in both to expand in both directions forever.directions forever.So the domain So the domain would be the set of would be the set of all real numbers (all real numbers (RR)) or (-or (-∞ , ∞)∞ , ∞)

RangeRange

The range of a The range of a graph is graph is displayed by the displayed by the set of all possible set of all possible y-values or y-values or ordinates.ordinates.

In this example, In this example, you can see that you can see that the greatest the greatest possible ordinate possible ordinate is approximately is approximately 8.6.8.6.So the range So the range would be y would be y 8.6 8.6 or (-or (-∞ , 8.6]∞ , 8.6]

DomainDomain

The domain of a The domain of a graph is displayed graph is displayed by the set of all by the set of all possible x-values or possible x-values or abscissas.abscissas.

In this example, In this example, you can see that you can see that the smallest the smallest possible abscissa possible abscissa is -3.is -3.So the domain So the domain would be x would be x -3 or -3 or [-3[-3, ∞), ∞)

RangeRange

The range of a The range of a graph is displayed graph is displayed by the set of all by the set of all possible y-values or possible y-values or ordinates.ordinates.

In this example, In this example, you can see that you can see that the greatest the greatest possible ordinate possible ordinate is 4.is 4.So the range So the range would be y would be y 4 or 4 or (-(-∞ , 4]∞ , 4]