Concept explainers
a.
To describe a polynomial function that could represents the given graph (indicate the degree of the function and the sign of its leading coefficient.).
a.
Answer to Problem 122E
Degree of polynomial function is 1 and leading coefficient is negative.
Explanation of Solution
Given: The given graph touches the x -axis once and falls left but rises right.
Concept Used:
Degree of polynomials is equal to the number of times its graph touches x -axis.
Leading coefficient would be positive if its graph rises left and right and negative if its falls left and rises right.
Calculation:
Since the given graph touches the x -axis once, the degree of the function would be 1 and since graph falls left and raises right leading coefficient would be a negative.
b.
To describe a polynomial function that could represents the given graph (indicate the degree of the function and the sign of its leading coefficient.).
b.
Answer to Problem 122E
Degree of polynomial function is 2 and leading coefficient is positive.
Explanation of Solution
Given: The given graph touches the x -axis twice and raises left and right.
Concept Used:
Degree of polynomials is equal to the number of times its graph touches x -axis.
Leading coefficient would be positive if its graph rises left and right and negative if its falls left and rises right.
Calculation:
Since the given graph touches the x -axis twice, the degree of the function would be 2 and since graph raises left and right leading coefficient would be a positive.
c.
To describe a polynomial function that could represents the given graph.(indicate the degree of the function and the sign of its leading coefficient.).
c.
Answer to Problem 122E
Degree of polynomial function is 3 and leading coefficient is positive.
Explanation of Solution
Given: The given graph touches the x -axis 3 times and raises left and right.
Concept Used:
Degree of polynomials is equal to the number of times its graph touches x -axis.
Leading coefficient would be positive if its graph rises left and right and negative if its falls left and rises right.
Calculation:
Since the given graph touches the x -axis 3 times, the degree of the function would be 2 and since graph raises left and right leading coefficient would be a positive
d.
To describe a polynomial function that could represents the given graph (indicate the degree of the function and the sign of its leading coefficient).
d.
Answer to Problem 122E
Degree of polynomial function is 3 and leading coefficient is negative.
Explanation of Solution
Given: The given graph touches the x -axis 3 times and falls left but rises right.
Concept Used:
Degree of polynomials is equal to the number of times its graph touches x -axis.
Leading coefficient would be positive if its graph rises left and right and negative if its falls left and rises right.
Calculation:
Since the given graph touches the x -axis 3 times, the degree of the function would be 2 and since graph falls left and raises right leading coefficient would be a negative.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
- 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