Problem 1
Domain: [-3, 5)
Range: (-4, 3]
The domain is the set of allowed x inputs, while the range is the set of allowed y outputs. For problems like this, we just list the smallest and largest values possible. In this question, the left most point happens when x = -3 and the right most point is when x = 5, but we don't include this value due to the open hole. So that's why we have a curved parenthesis as part of the domain here. The range is a similar story, but we look at the y values instead.
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Problem 2
Domain: [-2, 4)
Range: [-2, 5)
We aren't including any of the endpoints due to the open holes. Be sure not to mix this notation up with ordered pair notation.
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Problem 3
Domain: [1, 4]
Range: [-4, -1]
We include each endpoint because of the filled in circles, so that's why we use square brackets here.