The graph of a rational function, f is shown in the figure. Use the graph to find domain and range of f.

Question

anonymous · Answer

attachment

campbell_st · Answer

looks like the domain is all real x except plus and minus 2. 

there are vertical asymptotes at +2 and -2 so the can't be included. 

now the range

y cannot equal -1.... as there is a horizontal asymptote

the range looks like all real y except y = -1

anonymous · Answer

the answer was (-infinite sign , -2) U (-2,2) U (2, infinite sign)

campbell_st · Answer

if you know the answer what is the question..?

anonymous · Answer

The range was (-infinite sign, -1) U [0,infinite sign)

anonymous · Answer

I didn't know the answer i put anything and it shows me it at the end.

anonymous · Answer

If you are using mymathlab (or something like it) then you have both the 'view an example' and 'help me solve it' options, which will walk you through the reasoning to solve the problem, step-by-step.  Personally, I love it.  If you are already paying for a license to access the course content, you might as well get all your money's worth.

anonymous · Answer

In short (and probably not all that rigorous), I like to think of the domain as the set of "x-values" for which there is a corresponding "y-value."

anonymous · Answer

Yes, I know that

anonymous · Answer

I wasn't meaning to be condescending, if you took it that way.  Just pointing something out that I personally find very useful.  In any event, is it clear how campbell_st arrived at the answer?

anonymous · Answer

Not really...because it looks like he stopped explaining and went to another problem to help. T T

anonymous · Answer

I didn't take it condescending. Just find mymathlab annoying as flutter thats why

anonymous · Answer

okay, so if you look at that graph again, do you see any values along the x-axis which don't have a corresponding y-value?

anonymous · Answer

I don't think so? T;

anonymous · Answer

I need like an fully solved example to understand...

anonymous · Answer

thats just how i learn idk.

anonymous · Answer

lets look closely at x = positive 2 (or -2, your choice).  Can you tell me what the value of the graph is there?  Is there even a y-value there at all, or is it undefined?