a)
To find: the number of x-intercepts and local extreme for the polynomial
a)
Answer to Problem 80E
The function have two local extremes and three x -intercepts.
Explanation of Solution
Given information:
Given function,
Calculation:
Consider the function,
Now, for x -intercepts of the polynomial equate the polynomial with zero.
Therefore, the x -intercepts are given by
Now, differentiate the function with respect to ‘ x’ .
For local extremes equate the derivative with zero.
Hence, the function have two local extremes and three x -intercepts.
b)
To find: the number of x-intercepts and local extreme for the polynomial
b)
Answer to Problem 80E
The function have no local extremes and one x -intercept.
Explanation of Solution
Given information:
Given function,
Calculation:
Consider the function,
Now, for x -intercepts of the polynomial equate the polynomial with zero.
Therefore, the x -intercepts are given by
Now, differentiate the function with respect to ‘ x’ .
For local extremes equate the derivative with zero.
Hence, the function have no local extremes and one x -intercept.
c)
To find: the number of x-intercepts and local extreme for the polynomial
c)
Explanation of Solution
Given information:
Given that,
Calculation:
As here,
the function
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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