The domain and range of the given graphed function are;
Domain; -5 ≤ x < 1
Range; -4 ≤ y < 7
- Domain is simply the set of all possible input values. This means it's the values on the x-axis in the graph. Meanwhile, the range is the set of all output values which in this case is the values on the y-axis.
- Now, from the graph, we see that the line stopped at 2 points.
The bottom one is shaded which means it includes the numbers at that point.
It's coordinates are (-5, -4)
Thus, we can write the domain here as; x ≥ -5
While the range will be; y ≥ -5
- For the second point above on the graph, we see the point where it is is not shaded and this means that the coordinates at that point are not included in the range or domain.
Thus, domain here is; x < 1
The range is ; y < 7
- Combining domain intervals for both points, we will get;
Domain; -5 ≤ x < 1
- Similarly, combining range intervals for both points, we have;
Range; -4 ≤ y < 7
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