Concept explainers
a.
To find: The possible rational zeroes of the function
a.
Answer to Problem 40E
Possible rational zeroes of the function are
Explanation of Solution
Given information:
Given function is
Formula used:
Rational root test: According to this test, the list of all possible rational zeroes of a polynomial is,
Possible zeroes
Consider the function as,
Here, leading coefficient is
Factors of constant term 4 are
Factors of leading coefficient
Then possible rational zeroes are,
Therefore, possible rational zeroes of the function are
b.
To draw: The graph of the function
b.
Explanation of Solution
Given information:
Given function is
Possible rational zeroes of the function are
Consider the function as
Graph of the function can be drawn as,
From the graph of the function, it is clear that zeroes of the function are
c.
All the real zeroes of the function
c.
Answer to Problem 40E
Real zeroes of the function are
Explanation of Solution
Given information:
Given function
Possible rational zeroes of the function are
Consider the given function as function
From part (a), possible rational zeroes of the function are
From part (b), it is clear is clear that the curve do not touch x − axis at
Hence, real zeroes of the function are
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