(a)
To find: The domain of
(a)
Answer to Problem 55EP
All, real numbers except
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
When the denominator is 0, the function is undefined.
Therefore the required all, real numbers except
(b)
To find: The equation of vertical asymptote for the graph of
(b)
Answer to Problem 55EP
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
Where the function is undefined, vertical asymptotes occur, which was determined in section (a) to be:
Therefore, the required equation of vertical asymptote for the graph of
(c)
To find: The equation of horizontal asymptote for the graph of
(c)
Answer to Problem 55EP
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
By assessing the limit as
As
Therefore the required equation of horizontal asymptote for the graph of
(d)
To find: The
(d)
Answer to Problem 55EP
The function is odd.
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
To determine whether the function is odd or even, use
Therefore the required function is odd.
(e)
To find: The all values of
(e)
Answer to Problem 55EP
Both are infinite discontinuities; non removable.
Explanation of Solution
Given information: The function is
Calculation:
The given function is:
At
Or,
As there are no finite limits at the points of discontinuity, then there is no value we can assign to
Therefore, the required
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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