the domain is (-7, 1]
the range is (2, 7]
So the correct option is the third one.
How to identify the domain and range of the graphed function?
For a given function we identify the domain as the set of the inputs of the function, in this case, represented by the horizontal axis, while the range is the set of the outputs of the function, in this case, represented by the vertical axis.
So, to identify the domain of the function, we just need to find the smallest and largest x-values graphed, these are:
x = -7
x = 1
Then the domain is (-7, 1]
(the parenthesis is because the point (-7, 1) is in an open circle, which means that it does not belong to the graph).
For the range we can do the same thing, but on the vertical axis, the smallest and largest values are:
y = 2
y = 7
So the range is (2, 7]
Then the correct option is the third one.
If you want to learn more about domain and ranges:
https://brainly.com/question/10197594
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