Question 1157922
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 F(x)=(x^2-7x-8)/(x+4)


 {{{F(x)=(x^2-7x-8)/(x+4)}}}

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{{{F(x)=((x+1)(x-8))/(x+4)}}}

Rational function with zeros at x for -1 and +8; and undefined for x at -4.  Vertical asymptote for x at -4.


Critical x values are   -4, -1, +8.

Decreasing toward the left of x at -4.
Increasing for F toward the right as x goes unbound above  8 .


Oblique asymptote,...
<pre>
-4    |      1      -7     -8
      |             -4     44
      |----------------------------
             1     -11     36

{{{x-11+36/(x+4)}}}</pre>
When x is extremely great or extremely less, F approaches line y=x-11, the oblique asymptote.



{{{graph(400,400,-30,12,-30,12,(x^2-7x-8)/(x+4))}}}