
a.
To find: the domain of the function.
a.

Answer to Problem 9E
The domain is any real number except x =
Explanation of Solution
Given information:Given function
Calculation:
The domain is any real number except x =
b.
To: complete each table.
b.

Answer to Problem 9E
Explanation of Solution
Given information:Given function
and giventables are.
x | f(x) |
0.5 | |
0.9 | |
0.99 | |
0.999 |
x | f(x) |
1.5 | |
1.1 | |
1.01 | |
1.001 |
x | f(x) |
5 | |
10 | |
100 | |
1000 |
x | f(x) |
-5 | |
-10 | |
-100 | |
-1000 |
Calculation:
Completed tables are given below.
x | f(x) |
0.5 | -1 |
0.9 | -12.79 |
0.99 | -147.754 |
0.999 | -1497.75 |
x | f(x) |
1.5 | 5.4 |
1.1 | 17.2857 |
1.01 | 152.254 |
1.001 | 1502.25 |
x | f(x) |
5 | 3.125 |
10 | 3.0303 |
100 | 3.0003 |
1000 | 3 |
x | f(x) |
-5 | 3.125 |
-10 | 3.0303 |
-100 | 3.0003 |
-1000 | 3 |
c.
To: discuss the behavior of f near any excluded x - values.
c.

Answer to Problem 9E
There is a vertical asymptote at x =1.
There is a vertical asymptote at x =-1.
There is a horizontal asymptotes y =3.
Explanation of Solution
Given information: Given function
Calculation:
From top two tables:
So, there is a vertical asymptote at x =1.
Since
From the bottom two tables:
When
Chapter 2 Solutions
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