SOLUTION: I don't understand this can someone please help me asap....Analyze the graph of the function F(x)=(x^2-7x-8)/(x+4). Write​ F(x) in lowest terms.

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Question 1157922: I don't understand this can someone please help me asap....Analyze the graph of the function F(x)=(x^2-7x-8)/(x+4). Write​ F(x) in lowest terms.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
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F(x)=(x^2-7x-8)/(x+4)


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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,...
-4    |      1      -7     -8
      |             -4     44
      |----------------------------
             1     -11     36

When x is extremely great or extremely less, F approaches line y=x-11, the oblique asymptote.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!






x-intercepts: set

=> and
x-intercepts at: (,), (,)

y-intercepts: set and



y-intercept at: (,)

critical points: values of for which is ’
'
=> ...only if numerator equal to zero
=>
=>,

vertical asymptote: (makes denominator zero)
Calculate the limits:



Thus, there are .

Do polynomial long division:
..........(
|
................subtract
...............
............... ......subtract
.............................
The rational term approaches as the variable approaches.
Thus, the slant asymptote is:

to find max and min, plug in critical points,
at ->max
at->minimum




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