## anonymous 3 years ago Help!!!! For each of the following, identify the domain and range.

1. anonymous

$g(x)=8\left| x \right|-4$

2. anonymous

there will be no restrictions on the domain, so the domain is all set of real numbers. the graph of this function is shifted down by 4 units, (remember the parent function has a range of 0=<y) so the range will be -4=<y (-4 is equal or less than y)...

3. anonymous

so basically Domain: $(-\infty,\infty)$ Range: $(-\infty,-4]$ How do you know when there's no restrictions?

4. anonymous

range will be: $[-4,+ \infty)$ there will be restrictions for rational function, if the denominator is equal to zero, the function will be undefined.

5. anonymous

ohhh so like for this equation: $\frac{ (x-2)(x+3) }{ (x-2)(x+2) }$ there would be a restriction on 2 and -2?

6. anonymous

yeah!!, sorry late respond,

7. anonymous

okie dokie :) so that would mean that the domain is? |dw:1380763197328:dw|

8. anonymous

right

9. anonymous

yeah!!!!!!!!! Thank you so much!!!!!!!!!! :)

10. anonymous

NO problem! minion buddy(^_^)

11. anonymous

Minion buddy :)

12. mary.rojas

omg jealous! *goes to change pic

13. anonymous

aren't we look cute?? hehehe! this is awesomeness!

14. mary.rojas

^_^

15. anonymous

hahaha =D now we're all minions xD

16. anonymous

yay!! XD

17. mary.rojas

^_^

18. anonymous

=)

19. anonymous

lol this is enough:) need to study now, see ya round OS;p

20. anonymous

haha ok, me too... it was really nice meeting you tonight!!!!!!!!!!! :) see ya later!!!!!!!!!!

21. anonymous

i will save this:)))))