Answer:
Our domain is -5 < x < 5 or (-5,5) in interval notation form.
Step-by-step explanation:
Domain is a set of all x-values. If we want to find the domain through the graph, we will just look whenever if the graph has an open-dot/closed-dot or not. The following that you'll commonly see in finding domain through graph:
1. Closed Dots
They are dots that have solid color (generally black) to indicate that the interval there do include that x-value. An example is if there's a closed dot or solid dot at x = 4 then the value x = 4 is included in.
2. Opened Dots
They are white dots - they only have outlines but no color of the dot. They work quite similar to the closed dots, except that the value at that point will not be included in. An example is if there's an opened dot at x = 4 then the value x = 4 will not be included in.
However, x = 4.0001 or values that are very close to x = 4 will be included in, just not x = 4.
----------------------------------------------------------------------------------------------------------
Now since we are finding the domain through interval, we will ignore all y-values and y-axis. We will only be looking at x-axis and x-values.
The initial opened dot starts at x = -5 and the final opened dot ends at x = 5 as shown in the graph. Keep in mind that graphing visualization is a mandatory skill in mathematics!
The domain's interval has structure of initial x-value < x < final x-value (Only for opened dots, for closed dots, use ≥ or ≤) so from the structure, we can conclude that:
Our domain is -5 < x < 5 or (-5,5) in interval notation form.
