Concept explainers
(a)
Use the Intermediate Value Theorem and the table feature of a graphing utility to find intervals one unit in length in which the polynomial function is guaranteed to have a zero.
(a)
Answer to Problem 21RE
The answer is −1,0
Explanation of Solution
Given:
The intermediate value theorem is "If
So for the function
Therefore in this interval there must be a zero.
So the answer is −1,0
(b)
Adjust the table to approximate the zeros of the function to the nearest thousandth Use the zero or root feature of the graphing utility to verify your results.
(b)
Answer to Problem 21RE
Graph is shown below.
Explanation of Solution
Given:
Use the graphing utility find the values at which these zeros occur. So the value obtained by using computer acid is −0.900. Use the graphing utility to draw the graph and see that there is a zero in this region. So the graph 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