Question

The entire graph of the function h is shown in the figure below.

Write the domain and range of h as intervals or unions of intervals.

Answer 1

The calculated domain is [-3, -1] U [1, 3) and the range is [-3, -2] U [-2, 0) U (0, 2]

Calculating the domain and range of the graph

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph can be represented as a list of ordered pairs

The rule of a graph is that

• The domain is the x values
• And the range is the f(x) values

Using the above as a guide, we have the following:

Domain = [-3, -1] U [1, 3)

While the range from the graph is

Range = [-3, -2] U [-2, 0) U (0, 2]

Hence, the domain is [-3, -1] U [1, 3) and the range is [-3, -2] U [-2, 0) U (0, 2]