Concept explainers
a.
To check: The domain of functions
Given information:
The functions are
Calculations:
The domain of the function
But the domain of function
Thus domain both cases are not equal.
b.
To find : The vertical asymptotes function of
The oblique asymptotes is
Given information:
The given functions is
Concept used:
The oblique asymptotes is found by divide the numerator by the denominator. A slant asymptote will be there if the degree of the numerator is 1 greater than the degree of the denominator.
Calculations:
The denominator of the function
The degree of denominator is denominator is less than the numerator .So
So the the oblique asymptotes is at
c.
To check: The function are same
Given information:
The given function are
Concept used:
By checking both functions domain ,asymptotes etc can say that function s are equal or not.
Calculations:
The denominator of the function
So the synthetic asymptotes is at
And the domain are not equal
So the these two functions are not equal..
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning