Determine the domain and range of the function represented by the graph.
A) Domain: ; Range:
B) Domain: ; Range:
C) Domain: ; Range:
D) Domain: ; Range:
E) Domain: ; Range:

Question

Determine the domain and range of the function represented by the graph. 
A) Domain: ; Range: 
B) Domain: ; Range: 
C) Domain: ; Range: 
D) Domain: ; Range: 
E) Domain: ; Range:

Quizplus · Accepted Answer

The domain is the set of all input values, which in this case is the set of all x-coordinates of the points on the graph. From the graph, it can be seen that the smallest and largest x-values on the graph are -3 and 3, respectively. Therefore, the domain is the interval [-3,3]. The range is the set of all output values, which in this case is the set of all y-coordinates of the points on the graph. From the graph, it can be seen that the smallest and largest y-values on the graph are -2 and 1, respectively. Therefore, the range is the interval [-2,1]. Choice D is the only option that provides the correct domain and range for the given graph.

Determine the Domain and Range of the Function Represented by the Graph