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Determine the domain of the following graph

Determine the domain of the following graph-example-1
User Fritzmg
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1 Answer

3 votes

Answer:

[-5, 10) or you can write
-5\le x < 10

Explanation:

The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.

So the domain is all real numbers greater than or equal to -5 and less than 10.

[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.

User Dean Goodman
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