i) The given function is

The domain is



ii) For vertical asymptotes, we simplify the function to get;

The vertical asymptote occurs at


iii) The roots are the x-intercepts of the reduced fraction.
Equate the numerator of the reduced fraction to zero.



iv) To find the y-intercept, we substitute
into the reduced fraction.



v) The horizontal asymptote is given by;

The horizontal asymptote is
.
vi) The function has a hole at
.
Thus at
.
This is the factor common to both the numerator and the denominator.
vii) The function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
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Below are the choices:
A.
<span>[8 -6] </span>
<span>[-5 4] </span>
<span>B. </span>
<span>[4 -3] </span>
<span>[-2.5 2] </span>
<span>C. </span>
<span>[-4 5] </span>
<span>[6 -8] </span>
<span>D. </span>
<span>[-2 2.5] </span>
<span>[3 -4]
</span>
B because it is the inverse of
<span>(4 6) </span>
<span>(5 8) </span>
<span>Check </span>
<span>(4.0 -3)(4 6) = (1 0) </span>
<span>(-2.5 2)(5 8) = (0 1)</span>
Answer: X=1.5
Step-by-step explanation:
The equation when y is -16
-16=-8x-4
-12=-8x
12/8 is 1.5
Answer:
The slope of the line that passes through the points is 0 slope. That is B is the answer.