Concept explainers
a.
To find : the domain of the function
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 26E
The domain is any real number
Explanation of Solution
Given information : The function is
Calculation :
This means it has no real zeroes. The denominator is never
b.
To state : the function is continuous
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 26E
The function is continuous
Explanation of Solution
Given information : The function is
The function is defined for all real number so, the function continuous
c.
To identify : the horizontal and vertical asymptote and also verify the answer of part(a) by using the graphing utility and numerically
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 26E
There is no vertical asymptote and the horizontal asymptote is
Explanation of Solution
Given information : The function is
Calculation :
There is no vertical asymptote for the reason which is provided in part (a)
The degree of the numerator and denominator are the same. There is a horizontal asymptote
-20 | 3.0874 |
-15 | 3.0868 |
-10 | 3.0404 |
-5 | 2.6207 |
0 | 0.1111 |
5 | 1.9487 |
10 | 2.5294 |
15 | 2.749 |
20 | 2.7995 |
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression
Step 4: Press
The graph is obtained as:
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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