analyze the graph of the function R(x)=x^2+x-100/x^2-x-90

Question

mathmale · Answer

I'd like to know what specific things you'd be looking for if YOU were to "analyze the graph" of a rational function (such as this one is).

anonymous · Answer

what is the domain ? whats is the equation of the vertical asymptote of R(x) ? what is the horizontal or oblique asymptote of R(x)?

mathmale · Answer

Cool.  Which of these would you like to determine first?

mathmale · Answer

$$R(x) = \frac{ x ^{2}+x-100 }{ x ^{2}-x-90}$$

mathmale · Answer

Question #1:  Can the denominator be factored?
              #2:  If so, please factor it.
              #3:  Explain what info we obtain by factoring the denominator.
              #4:  can R(x) ever be zero?  If so, at which x values?  Why would we care?

mathmale · Answer

Additional info that you might want to find:  horiz. asymptote.  How would you go about finding that?