
a.
the domains of
a.

Answer to Problem 31E
The domain of
Explanation of Solution
Given information : The equation is
Calculation :
The domain of
The domain of
b.
To find : the vertical asymptote and the holes in the graph of
b.

Answer to Problem 31E
The vertical asymptote is
Explanation of Solution
Given information : The equation is
Calculation :
So, the vertical asymptote is
The hole is
c.
To compare :
c.

Explanation of Solution
Given information : The equation is
Calculation :
The table of
-2 | 3/5 | 3/5 |
-1 | undefined | ½ |
0 | 1/3 | 1/3 |
1 | 0 | 0 |
2 | -1 | -1 |
3 | undefined | undefined |
4 | 3 | 3 |
d.
To use : graphing utility to graph
d.

Explanation of Solution
Given information : Use graphing device to graph the function
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:
e.
To explain : why the differences in domain of
e.

Explanation of Solution
Given information : The equation is
Calculation :
The two functions are almost the same except the graph of f has a hole at
And the graph of g is continuous
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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