Concept explainers
(a)
The possible rational zeros of f.
(a)
Answer to Problem 34E
The possible rational zeroes are
Explanation of Solution
Given information:
The given function as shown below,
Formula used:
Calculation:
The Rational Zero Test
If the polynomial
Where,
Here,
Use the above rational zero test, therefore the possible rational zeroes are
Conclusion:
The possible rational zeroes are
(b)
The graph of the function of f.
(b)
Answer to Problem 34E
The zeroes of the function f (x) cannot be negative; also the zeroes are less than 4
Explanation of Solution
Given information:
The given function as shown below,
Formula used:
The horizontal axis represents x-axis and vertical axis represents y axis.
Calculation:
The graph of the function
From the above graph, note that the zeroes of the function f (x) cannot be negative, also the zeroes are less than 4
Conclusion:
The zeroes of the function f (x) cannot be negative; also the zeroes are less than 4
(c)
All the real zeros of f.
(c)
Answer to Problem 34E
The real zeroes of the function
Explanation of Solution
Given information:
The given function as shown below,
Formula used:
The value of f(x) will be equated to zero.
Calculation:
Put x = 2 in the above function
Therefore, x = 2 is a zero of f (x)
Take x = 2 as a rational root and apply synthetic
Therefore, the above polynomial can be written as
Thus, the real zeroes of the function
Conclusion:
The real zeroes of the function
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