a.
To Graph:
a.
Explanation of Solution
Given:
Graph:
The graph of
b.
To Compare: The domain of the graph of
b.
Answer to Problem 71E
The domain of
Explanation of Solution
Given:
Calculation:
The domain of
The domain of
The domain of
Comparison:
The domain of
So, the domain of
c.
To Replace:
c.
Answer to Problem 71E
The domain of
Explanation of Solution
Given:
Replace
Calculation:
Replace
The graph of
Hence, the domain is
Replace
The graph of
Here the domain is
Replace
The graph of
Hence, the domain is
Replace
The graph of
Here, the domain is
Replace
The graph of
Here the domain is
Comparison with part
Thus, the domain of
d.
To Conjecture: The domains of sums, differences, products, and quotients of functions based on the observations in
d.
Answer to Problem 71E
Explanation of Solution
Given:
Conjecture based on our results from
While performing
that are not in the domains of original functions, that values should be excluded.
Thus, the resulting function's domain is the intersection of the original functions'
domains.
Also, while performing
the domain will be excluded for values of the denominator where the function equals
zero.
Chapter 0 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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