The relation is not a function
The domain is (-2, 1] and the range is (-4, 6)
How to determine if the relation is a function
From the question, we have the following parameters that can be used in our computation:
The relation represented by the graph
From the graph, we can see that
For all values of x greater than 0 but less than or equal to 1, there are more than one y values for each
This means that the relation fails the vertical line test
By definition:
Relations that fail the vertical line test are not functions
So, the relation is not a function
Also, we have the following (by definition)
- Domain is the set of all x values
- Range is the set of all y values
From the graph, we have
x values = -2 (exclusive) to 1
y values = -4 to 6, both exclusive
This means that the domain is (-2, 1] and the range is (-4, 6)