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Find the absolute max or min for (x+1)(x^2-4)

Find the absolute max or min for (x+1)(x^2-4)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the absolute max or min for (x+1)(x^2-4)
### Polynomial Function Analysis **Function:** \[ F(x) = (x + 1)(x^2 - 4) \] **Factored Form:** \[ F(x) = (x + 1) (x + 2) (x - 2) \] **Degree:** - The degree of the polynomial is **3**. **Discussion:** - The function \( F(x) \) is expressed in its factored form, showing its roots at \( x = -1 \), \( x = -2 \), and \( x = 2 \). - The polynomial is of degree 3, indicating a cubic function. - The function may have characteristics typical of cubic functions, such as containing up to two turning points.
Transcribed Image Text:### Polynomial Function Analysis **Function:** \[ F(x) = (x + 1)(x^2 - 4) \] **Factored Form:** \[ F(x) = (x + 1) (x + 2) (x - 2) \] **Degree:** - The degree of the polynomial is **3**. **Discussion:** - The function \( F(x) \) is expressed in its factored form, showing its roots at \( x = -1 \), \( x = -2 \), and \( x = 2 \). - The polynomial is of degree 3, indicating a cubic function. - The function may have characteristics typical of cubic functions, such as containing up to two turning points.
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