Concept explainers
(a)
To find: the apparent horizontal asymptote of the graph.
The horizontal asymptote
Given information:
The function
Calculation:
The function in the indicated viewing window.
There appears to be a horizontal asymptote at
(b)
To find: the apparent range of
The apparent range of
Given information:
The function
Calculation:
Based on the graph, the range of
It contains
(c)
To show:
Given information:
The inequality
Calculation:
Since
Add
Add
Both parts of the inequality are true for all
Note that this does not prove that
For example, if your house is between
To actually prove that range and need to use some calculus, which is beyond the scope of this textbook.
But analyze the behavior of the function for very large positive values:
And for very large negative values:
Note that as
Chapter 1 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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