## anonymous one year ago The graph of a function f(x) is shown below: graph of line segment with endpoints at negative two, negative one and three, three. The negative two, negative one endpoint is open and the three, three endpoint is closed. What is the domain of f(x)? −2 < x ≤ 3 −2 ≤ x < 3 −1 < y ≤ 3 −1 ≤ y < 3

1. anonymous

2. anonymous

@eninone

3. anonymous

@HydrogenCyanide?

4. anonymous

Can you put up a picture of the graph? I think it would make it easier for me to understand ^.^

5. anonymous

sure no problem

6. anonymous

7. anonymous

Ok Ima take a shot at it...

8. anonymous

Domain is X so on the graph there's a point (-2, -1) So x would be -2

9. anonymous

|dw:1437000760769:dw|

10. anonymous

So of the choices, A or B could be the answer?

11. anonymous

Yes

12. anonymous

@eninone i still don't understand

13. anonymous

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14. anonymous

Since we narrowed it down we can look at the dots on the graph, -2,-1 point is "Open" while 3, 3 is "closed".

15. anonymous

@eninone can you explain better?

16. anonymous

|dw:1437001167488:dw|

17. anonymous

I think it should be A if you make a Quandaries and Queries chart...

18. jdoe0001

@Noelia when asked for "domain", what is that?

19. anonymous

Their is only supposed to be one answer @eninone

20. anonymous

@jdoe0001 it means find the x value (domain is x)

21. anonymous

Too clarify < or > is open and Less than greater than equal too is closed...

22. jdoe0001

|dw:1437002172953:dw|

23. jdoe0001

notice the -2 has a "hole" in it, thus is EXCLUDED from the domain, so "x" is never -2

24. anonymous

ok

25. anonymous

|dw:1437001495141:dw|

26. anonymous

−2 < x ≤ 3

27. anonymous

so it is -2<x is less than or equal to 3?

28. anonymous

−2 < x ≤ 3

29. jdoe0001

so.. .whatever "x" is, or the domain we know that is NOT -2, but we know that, as it moves away from -2 and to 0, "x" is that and keeps on going till it gets to 3 bear in mind that, on the negative quadrants, the nuimbers closer to 0, are "bigger" thus -3 is really smaller than -2, because -2 is closer to 0 and -1 is bigger than -2 because -1 is closer to 0 so "x" is NOT -2, but bigger than that, and keeps on going till it gets to +3

30. anonymous

domain= x is less than or equal to 3 and greater than -2.

31. anonymous

So A?

32. anonymous

@Noelia yep!

33. anonymous

Ok thanks. Can you help me with another problem?

34. anonymous

why not, post!

35. anonymous

ok hold on