Concept explainers
(a)
To find: The intermediate value theorem and the table feature of the graphing utility to find the intervals one unit in length in which the polynomial function is guaranteed to have zero.
(a)
Answer to Problem 94E
Thenegative to positive interval is
Explanation of Solution
Given:
The given function is
Calculation:
The zero of the polynomial by the table is shown below. Enter the function after the key Y=.
The snip for calculator is shown in Figure 1
Figure 1
The table features obtained by pressing the keys
The given table is shown below.
Figure 2
The table for the adjusted zero of the function is shown below.
Figure 3
In the above table the values changes from negative to positive in the interval
Figure 4
In the above table the values changes from positive to negative and the interval is from
(b)
To find: The graph for the function to verify the zeros of the function.
(b)
Answer to Problem 94E
The zeros of the function are
Explanation of Solution
Given:
The given function is
Calculation:
The result for the zeroes is verified by the pressing the 2nd and TRACE and then choosing the option 2.
The snip for it is shown in Figure 5
Figure 5
The next step is to press the arrow key and press enter to select left bound and the right bound and the zero appear as,
The sketch for the graph is shown in Figure 1
Figure 1
From the above graph the zeros of the function are
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