0) 00=2x-32-4ル+6 b) fCx)= 2+ベーー8x-6 こ2で4-7ピター2gペー7xーム

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 all of the real zeros of the function, finding exact values whenever possible. Identify each zeros as rational or irrational.
### Polynomial Functions

The following are polynomial functions that can be used in various mathematical analyses:

a) \( f(x) = 2x^3 - 3x^2 - 4x + 6 \)

This function represents a cubic polynomial, characterized by a leading term with the variable \( x \) raised to the third power.

b) \( f(x) = x^3 + x^2 - 8x - 6 \)

Another cubic polynomial, with the leading term \( x^3 \), alongside linear and constant components.

c) \( f(x) = 2x^4 - 7x^3 - 2x^2 - 7x - 4 \)

This is a quartic polynomial, as indicated by the highest power of \( x \), which is four.

These equations can be used to explore polynomial behavior, such as calculating roots, evaluating end behavior, and determining critical points through derivation.
Transcribed Image Text:### Polynomial Functions The following are polynomial functions that can be used in various mathematical analyses: a) \( f(x) = 2x^3 - 3x^2 - 4x + 6 \) This function represents a cubic polynomial, characterized by a leading term with the variable \( x \) raised to the third power. b) \( f(x) = x^3 + x^2 - 8x - 6 \) Another cubic polynomial, with the leading term \( x^3 \), alongside linear and constant components. c) \( f(x) = 2x^4 - 7x^3 - 2x^2 - 7x - 4 \) This is a quartic polynomial, as indicated by the highest power of \( x \), which is four. These equations can be used to explore polynomial behavior, such as calculating roots, evaluating end behavior, and determining critical points through derivation.
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