Answer:
f(x+1) = -3/4 × f(x)
Step-by-step explanation:
first of all, the sign of the numbers in the sequence is alternating. so, there must be a "-" involved.
that eliminates the first and third answer options.
and the absolute values of the numbers in the sequence are going down. |f(x+1)| < |f(x)|
that eliminates the fourth answer option, as this says that
|f(x)| < |f(x+1)|. and that is the opposite of how the actual sequence behaves.
Answer:
The line x = 8 is our vertical asymptote
The limit of
as x approaches 8 from the left is negative infinity; -∞
Step-by-step explanation:
We have been given the following function;

Considering that the function is rational, it will defined everywhere on the real line except where the expression in the denominator will be 0;
That is the function will not be defined where;
x - 8 = 0
solving for x yields;
x = 8
The function will be approaching the vertical line x = 8 asymptotically, meaning that the function will never touch or cross this line. We can therefore say that,
The line x = 8 is our vertical asymptote for the given function
The limit of
as x approaches 8 from the left;

For x approaching 8 from the left,
which implies that 
The denominator will be a negative quantity approaching 0 from the left, that is -∞.
Thus;
= -∞
Find the graph attached.
B. the first is not a solution , but the second is