#Domain and Range of a Function on a Graph

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buoyant roost
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I have no idea how to find the domain and range on this graph, I don't understand why the answer is the way it is. I'd appreciate some help.

naive lantern
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Lets look at just the domain part
The (-inf,2] means that the function is defined for -inf < x <= 2 (The bracket means x is defined at that exact value, the parathenses mean it’s not)

The function is also defined at (3,6] (I used parathense for 3 as the function is not defined at x=3 but used brackets for 6 as it is defined at 6

Saying (-inf,6] is not correct as that states that the function is defined at ALL values from -inf to 6 including 6, so we used the u (union) to say the function is defined at (-inf,2] OR (3,6]

In conclusion, (-inf,2] u (3,6] means the function is defined if x is between -inf and 2 including 2, OR if x is between 3 and 6, including only 6

buoyant roost
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Ohh I think I get it now