a.
To find: the domain of the function.
a.
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Answer to Problem 5E
The domain is any real number except x =1, since that would be dividing by zero.
Explanation of Solution
Given information:Given function
Calculation:
The domain is any real number except x =1, since that would be dividing by zero.
b.
To: complete each table.
b.
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Answer to Problem 5E
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 |
0.9 | -10 |
0.99 | -100 |
0.999 | -1000 |
x | f(x) |
1.5 | 2 |
1.1 | 10 |
1.01 | 100 |
1.001 | 1000 |
x | f(x) |
5 | 0.25 |
10 | 0.1111 |
100 | 0.0101 |
1000 | 0.0010 |
x | f(x) |
-5 | -0.1667 |
-10 | -0.0909 |
-100 | -0.0099 |
-1000 | -0.000999 |
c.
To: discuss the behavior of f near any excluded x - values.
c.
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Answer to Problem 5E
There is a vertical asymptote at x =1.
There is a horizontal asymptote y =0.
Explanation of Solution
Given information: Given function
Calculation:
From top two tables:
So, there is a vertical asymptote at x =1.
From the bottom two tables:
So, there is a horizontal asymptote y =0.
Chapter 2 Solutions
EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR
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