Question

Determine the domain and the range of the graph. Enter your answers in interval notation.

Answer 1

The domain of a graph is the interval over the x-axis where the graph is defined. Similarly, the range is the interval over the y-axis where the graph is defined.

Notice that the given graph corresponds to a segment of a line that connects the points (-3,-5) and (2,5). The segment includes the point (2,5) but not (-3,5).

Then, the interval over the x-axis where the graph is defined corresponds to the numbers between -3 and 2, including 2 but not -3. Using interval notation:

`(-3,2]`

The interval over the y-axis where the graph is defined corresponds to the numbers between -5 and 5. including 5 but not -5. Using interval notation:

`(-5,5]`

Therefore, the domain and range of the graph are:

Domain: (-3,2]

Range: (-5,5]