a.
To find: the domain of the function.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
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.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
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 | -2.667 |
0.9 | -18.9474 |
0.99 | -198.995 |
0.999 | -1999 |
x | f(x) |
1.5 | 4.8 |
1.1 | 20.9524 |
1.01 | 200.995 |
1.001 | 2001 |
x | f(x) |
5 | 0.8333 |
10 | 0.404 |
100 | 0.004 |
1000 | |
x | f(x) |
-5 | -0.8333 |
-10 | -0.404 |
-100 | -0.04 |
-1000 | -0.004 |
c.
To: discuss the behavior of f near any excluded x - values.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 10E
There is a vertical asymptote at x =1.
There is a vertical asymptote at x =-1.
There is a horizontal asymptotes y =0.
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
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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