## anonymous one year ago Create a graph with: Domain: -∞<x<∞ Range: -5<y<2

1. anonymous

seems like you should fit your graph between the 2 dashed lines. Maybe use them as asymptotes|dw:1441670506468:dw|

2. anonymous

I've done that but i don't understand what to do next. The domain is confusing me.

3. Hero

Label the graph properly afterwards. Label your x axis, y axis, and label negative infinity, positive infinity and -5, and 2 on it properly.

4. SolomonZelman

Cool $$(7/2)\cos(x)-1.5$$

5. SolomonZelman

7/2cos(x) makes it a range of 7 units long. and 1.5 shift down to adjust the interval

6. SolomonZelman

you can do same with sin(x) :)

7. SolomonZelman

oh, my bad.... 5 and 02 are not included. my apologizes

8. anonymous

the domain is (-∞, ∞) so the graph would go to the extents in both directions along the x-axis. I was thinking something shaped like the cube root function, but with asymptotes. Not sure exactly what function that would be

9. anonymous

|dw:1441671157497:dw| Would the graph look like this?

10. Hero

That's not between the two asymptotes. That's above and below the asymptotes.

11. anonymous

Oh yeah forgot about that :P

12. anonymous

|dw:1441671432757:dw|

13. anonymous

|dw:1441671544537:dw|

14. Hero

Actually, that's exactly right @peachpi

15. anonymous

:) Thanks for the help guys.

16. anonymous

you're welcome. thx @Hero

17. Hero

@peachpi Bonus points if you can come up with an algebraic representation of the graph.

18. anonymous

@Hero believe me I've been trying. Logistic function?

19. Hero

I only suggested because I'm stumped myself atm.

20. anonymous

I started with this $f(x)=\frac{ a }{ 1+bc^{-x} }$ shifted it down 5, then a has to be 7 for the limit approaching ∞ to be 2. $f(x)=\frac{ 7 }{ 1+bc^{-x} }-5$ I think b > 0 and c > 0 and not 1. @Hero