Concept explainers
a.
The find out the interval in which the zero of the polynomial lie.
a.
Answer to Problem 22RE
The interval is-
Explanation of Solution
Given Information:
The given function is-
Calculation:
The intermediate value theorem states that “If a functionis continuous on a closed interval and c is any number between and inclusive, then there is at least one number in the closed interval such that
It can be known that the equation given to us are continuous. So, if it can be found out that two numbers such that the value at these two points changes its sign then we could say that the graph should have passed 0 in that interval.
So, for the function if substitute 0 the result is obtained -1 as and if 5 is substituted, -1 as a resultant. Likewise, it can be found a range by substituting 1 and 2. So the values at both these points changed it its sign. Therefore, in this interval there must be a zero.
So, the answer is
b.
To plot the graph of the above function.
b.
Explanation of Solution
If the graphing utility is used that could be found, the values at which these zeros occur. So, the value obtained by using computer aid is Using 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