eli123 3 years ago help please

1. eli123

2. anonymous

this is meant for you to visualize the horizontal asymptote is the horizontal line that the graph approaches as it goes to the right $$\infty$$ and to the left $$-\infty$$

3. anonymous

they have marked it for you with a dotted line the vertical asymptote is the vertical dotted line. it is hard for me to read, but i think that is the line $$x=-1$$

4. anonymous

there are no "oblique asymptotes" otherwise you would see a non vertical line dotted

5. anonymous

the domain is all real numbers except where you see that you cannot plug in a value of $$x$$ which not coincidentally is the vertical asymptote in other words it is all real numbers except for $$x=-1$$

6. OrthodoxMan

For domain, how far can x go before being intervened by an asymptote. Same for y. Intercepts, when an x value touches the x-axis or the y value touches the y axis. And you should know asymptotes and what are they. (DOTTED LINES). Give equations and be done with it. Considering this is a test based on what you learned over lessons, I cannot help you further.

7. anonymous

and similarly you can see from the graph that the function approaches, but never actually achieves the value of $$y=3$$ which is the horizontal asymptote

8. eli123

ohh i see

9. anonymous

and finally the "intercepts" are where the graph crosses the $$x$$ axis, and where the function crosses the $$y$$ axis. it looks like they are at the same place, since the graph crosses both axes at $$(0,0)$$

10. eli123

so domain is (-infinity to infinity?

11. anonymous

if you have any question let me know. no

12. eli123

all real numbers except -1

13. anonymous

domain is all real numbers except $$x=-1$$

14. anonymous

right

15. eli123

and range all real numbers except 3?

16. anonymous

yes

17. eli123

x-intercept -1?

18. eli123

or 0?

19. eli123

i think x-intercept is -1 and y intercept is 3

20. anonymous

no the intercept is where it crosses the $$x$$ axis, for the $$x$$ intercept it is not the same as the asymptotes

21. eli123

so 0

22. anonymous

it crosses the $$x$$ axis at $$(0,0)$$

23. anonymous

your answer should be an ordered pair $$(0,0)$$

24. eli123

well it asks only for the x intercepts

25. anonymous

no actually it says "the intercepts" but it is the same answer for both

26. eli123

27. anonymous

oh i see well zero for both

28. eli123

ok and vertical is -1 and horizontal?

29. anonymous

$$y=3$$ is the equation of the dotted horizontal line

30. eli123

ooh wow

31. anonymous

lol

32. eli123

i have another problem

33. anonymous

post, you will get lots of answers some may even be right