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What is the domain of the function on the graph?

What is the domain of the function on the graph?-example-1
User Richard Vivian
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1 Answer

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19 votes

Answer:

Explanation:

Domain covers x values only (where range covers y values only). Domains are stated from the absolute lowest x value included on the graph to the highest. Looking at our graph, we have a solid dot at x = -3, and there is no part of the graph that goes to the left of -3. So -3 is the absolute lowest x value on the graph. When you follow the blue graph, you notice that it goes off the graph "paper" and does not have a solid dot at the tail end of it. This means that the graph will go on forever. This implies infinity, which looks like this: ∞

The lowest x value is -3 and the highest is ∞ so there are a couple of ways in which you can state this:

D = -3 ≤ x < ∞ or D = {x ≥ -3} Either one will work

User Bcackerman
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