Concept explainers
a.
To Determine: The interval in which the function is increasing or decreasing.
The function is increasing on the interval of
Given information:
Graph:
From the graph, it can be seen that the function
b.
To Determine: The function is odd, even or neither.
The function is neither even nor odd.
Given information:
Calculation:
A function is even if
Check if
Since
A function is odd if
Multiply
Since
So, the function
c.
To Determine: The extrema of the function, if any.
There are no extrema points.
Given information:
Calculation:
There is no local or absolute extreme in the function since it increases continuously between two horizontal asymptotes.
Extremums should be defined over open intervals. Consider the interval
Hence,
Assume
When the function is increasing, then
There are infinitely many local maxima to choose from:
And it goes on without ever reaching
Thus, there is no extrema for the function
d.
To Determine: The graph of the function related to a graph of one of the twelve basic functions.
The graph is related to logistic function.
Given information:
Calculation:
From the above graph, it can be seen that the function
Chapter 1 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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