Given:
The graph of a curve.
To find:
The domain and range for the given graph in interval notation.
Solution:
Domain: It is the set of input values.
Range: It is the set of output values.
Closed circle: It means that point is included in the solution set.
Open circle: It means that point is not included in the solution set.
(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.
[tex]Domain=-5\leq x<4[/tex]
[tex]Domain=[-5,4)[/tex]
(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.
[tex]Range=-3\leq y<3[/tex]
[tex]Range=[-3,3)[/tex]
Therefore (a) [tex]Domain=[-5,4)[/tex] and (b) [tex]Range=[-3,3)[/tex].
