Question

100 POINTS
What is the domain and the range of this graph?

Answer 1

Answer and Explanation

The domain of a function is the set of valid inputs, or x-values, that results in a real output, or y-value.

For this graph, we can see that the function's x-values extend from 1 to 4, inclusive of the endpoints. Therefore the function's domain is:

• 1 ≤ x ≤ 4

The range of a function is the set of its real outputs, or y-values, that result from all valid inputs.

For this graph, we can see that the function's y-values extend from -1 to 2, inclusive of the endpoints. Therefore, the function's range is:

• -1 ≤ y ≤ 2

Note

The vertical axis is the y-axis, and the horizontal axis is the x-axis. Therefore, the domain is represented graphically as the total horizontal space taken by the function, and the range is represented graphically as the total vertical space taken by the function.