
(a)
To Find: The shapes of the graphs compared and determine how the asymptotes and the x intercept of the graph compare.
(a)

Answer to Problem 36PPS
The shape of the graph is same and the asymptote is the y axis and the x intercept is 1.
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
The given log function are
Calculation:
The shape of the graph shows that the they are same and the asymptote of the graph is the y axis and the x intercept of each graph is 1.
(b)
To Find: The relationship between the graphs.
(b)

Answer to Problem 36PPS
The relation between the graphs is that they are the reflections of each over the x axis.
Explanation of Solution
The relation between the graph is that they are the reflections of each over the x axis.
(c)
To Find: The comparison contrast the graph of each of the function and the graph of
(c)

Answer to Problem 36PPS
The comparison contrast the graph of each of the function and the graph of
Explanation of Solution
Given:
The given logarithm is,
Calculation:
The graph for the three function and the graph for
Figure 1
The graph for
The graph for
The graph for
(d)
To Find: The relationship between the
(d)

Answer to Problem 36PPS
The graph are the reflection of each other across the x axis.
Explanation of Solution
Consider the function is
(e)
To Find: The equation for the function for which the graph is the graph for the
(e)

Answer to Problem 36PPS
The equation is
Explanation of Solution
Consider the standard equation of the graph is,
Since, there is the horizontal shift of 4 units and vertical shift of the 1 unit. Then,
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