For the given graph:
- domain is D: [-2, 0)
- range is R: [0, 2)
And yes, it is a function.
How to find the domain and range of the given function?
For a given function y = f(x), the domain is the set of the inputs (possible values of x) and the range is the set of outputs (possible values of y).
To identify the domain we need to look at the x-axis (the horizontal one)
We can see in the left side that the first value is -2, whith a closed circle, meaning that the value belongs to the domain.
The right side is x = 0, with a open circle, which means that it does not belong to the domain.
Then the domain is D: [-2, 0)
Similarly, by looking at the y-axis (vertical axis) we can find the range which is:
R: [0, 2)
Finally, how to know if this is a function?
There is something called the "vertical line test". This test says that if you can't draw a vertical line that intersects the graph in two points or more, then it is a function.
And the graph clearly meets that test, so it is a function.
If you want to learn more about domain and range:
https://brainly.com/question/10197594
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