Concept explainers
a.
To find the equation analytically.
a.
Answer to Problem 5PS
Explanation of Solution
Given information:
The parabola shown in the figure has an equation of the form
Find the equation analytically.
Calculation:
Here, we can find the equation analytically as follows.
As we know that the value at
Also, we know that the roots of the
Thus, the factors should be
Hence, the answer will be
b.
To find the equation by using the regression feature of a graphing utility.
b.
Answer to Problem 5PS
Explanation of Solution
Given information:
The parabola shown in the figure has an equation of the form
Use the regression feature of a graphing utility to find the equation.
Calculation:
Here we will get the same expression while solving it with graphing utility. For that first we have to type the inputs of the functions. The inputs
Here, the input in square bracket is given correspondingly.
For example: if the points are
So, to get the polynomial we have to type this function:
Here,
Hence, we will get the following equation:
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