Concept explainers
a.
To sketch the graph of the function by applying the leading coefficient test.
a.
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
Leading coefficient test-
The graph of the polynomial function rises or falls eventually in the following way −
It depends on the value of as moves to the left or to the right without bound,
1. For positive leading coefficient is positive and oddthe graph will rise to the right and will fall to the left and otherwise for the negative leading coefficient, the graph will rise to the left and will fall to the right.
2. For positive leading coefficient and eventhe graph will rise to the left and right and for the negative leading coefficient, the graph will fall to the left and right.
As the degree of polynomial is odd and the leading coefficient is negative, so by the leading coefficient test it can be concluded that the graph of the polynomial function will rise to the left and will fall to the right.
b.
To sketch the graph of the function by finding the zeroes of the polynomial,
b.
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The real zeroes of the polynomial function can be determined by putting.
So, there are two real zeroes of the polynomial
c.
To sketch the graph of the function by plotting sufficient solution points
c.
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
There are not fixed number of solution points, so the answer may vary.
d.
To sketch the graph of the function by drawing a continuous curve through the points.
d.
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The continuous plot of the polynomial function is,
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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