(a)
To state: the domain of the given function.
(a)
Answer to Problem 24E
The domain of the given function is
Explanation of Solution
Given information:
Consider
Calculation:
The domain is the set of x values for which the function is defined.
The function
Hence, the domain is
(b)
To identify: the intercepts of the given function.
(b)
Answer to Problem 24E
x- intercept is
Explanation of Solution
Given information:
Consider
Calculation:
The x- intercept is the point at which the graph of the function crosses the x- axis.
The y- intercept is the p0int at which the graph of the function crosses the y- axis.
Hence, the x- intercept is
(c)
To find: the asymptotes of the given function.
(c)
Answer to Problem 24E
The horizontal asymptote is
Explanation of Solution
Given information:
Consider
Calculation:
Degree of numerator is equal to the degree of denominator.
So the horizontal asymptote is ratio of coefficients of highest degrees of numerator and
denominator.
To find vertical asymptote equate denominator to zero.
Hence, the horizontal asymptote is
(d)
To plot: the given function.
(d)
Explanation of Solution
Given information:
Consider
Graph:
The graph of the
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning