The domain and the range of a graph is the possible x and y values, the graph can take.
- The domain of the function is: [tex]-1 \le x < 3[/tex] .
- The range of the function is: [tex]3 \ge y > -5[/tex]
First, we determine the domain.
On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle
A closed circle is represented by [tex]\ge[/tex] or [tex]\le[/tex], while an open circle is represented > or <
So, the domain of the graph is: [tex]-1 \le x < 3[/tex]
Next, we determine the range.
On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle
Using the explanation of open and closed circle above,
The range of the function is: [tex]3 \ge y > -5[/tex]
Hence, the domain and the range of the graph are: [tex]-1 \le x < 3[/tex] and [tex]3 \ge y > -5[/tex], respectively.
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