## anonymous one year ago Find the domain and range. Use inequality and interval notation.

1. anonymous

|dw:1441672271947:dw|

2. anonymous

All you need to do is list the values in {} brackets. Y is domain, X is range. So, for example, Domain {1,2,3,4,5} Range {6,7,8,9,10} That's for interval notation, though. I cannot remember how to do inequalities, sorry!

3. anonymous

D: {0,∞ } R: {0,-∞ }

4. anonymous

Isn't inequality like, Example) -∞ <y<0

5. anonymous

Yes, I believe so =)

6. anonymous

How would i then find inequality for the graph?

7. mathmate

The diagram does not provide all the information necessary. It is preferable to post an image of the original question. In the mean time, 1. Does the function start from x=0, or x>0? 2. Is the function real or is it an integer function?

8. anonymous

1. x=0 2. real function

9. mathmate

The interval notation provided by @CollateralDamage is close, but not exact. We need to use (, [, ), or ] for the limits. [ includes the value, and ( excludes the value. Since it starts from zero to infinity, we write domain = [0,$$\infty$$) while excluding infinity (not a defined value). Range would be similar, [0,-$$\infty$$). You can try the inequality notation, using < for less than, $$\le$$ for less than or equal to. something like 5$$\le$$x<100, but substitute the correct values used in the interval notation.

10. anonymous

D: 0<x<∞ R: -∞<y<0

11. mathmate

You're excluding the point (0,0) in both cases, otherwise it looks ok. By the way, I need to make the correction for range $$(-\infty, 0]$$.

12. anonymous

Thanks for the help @mathmate :D

13. mathmate

You're welcome. :)